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Finding the Third Proportional to 275,210.16 and 558,165.94

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Solution

The third proportional to 275,210.16 and 558,165.94 is: 1,132,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,210.16 : 558,165.94 = 558,165.94 : x
  2. Step 2: Convert to fraction form
    275,210.16/558,165.94 = 558,165.94/x
  3. Step 3: Cross multiply
    275,210.16x = 558,165.94 × 558,165.94
  4. Step 4: Simplify right side
    275,210.16x = 311,549,213,785.25
  5. Step 5: Solve for x
    x = 311,549,213,785.25/275,210.16
  6. Step 6: Final answer
    x = 1,132,041.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.