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Finding the Third Proportional to 210,025.13 and 330,346.13

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Solution

The third proportional to 210,025.13 and 330,346.13 is: 519,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,025.13 : 330,346.13 = 330,346.13 : x
  2. Step 2: Convert to fraction form
    210,025.13/330,346.13 = 330,346.13/x
  3. Step 3: Cross multiply
    210,025.13x = 330,346.13 × 330,346.13
  4. Step 4: Simplify right side
    210,025.13x = 109,128,562,302.52
  5. Step 5: Solve for x
    x = 109,128,562,302.52/210,025.13
  6. Step 6: Final answer
    x = 519,597.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.