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Finding the Third Proportional to 115,315 and 253,331.50

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Solution

The third proportional to 115,315 and 253,331.50 is: 556,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,315 : 253,331.50 = 253,331.50 : x
  2. Step 2: Convert to fraction form
    115,315/253,331.50 = 253,331.50/x
  3. Step 3: Cross multiply
    115,315x = 253,331.50 × 253,331.50
  4. Step 4: Simplify right side
    115,315x = 64,176,848,892.25
  5. Step 5: Solve for x
    x = 64,176,848,892.25/115,315
  6. Step 6: Final answer
    x = 556,535.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.