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Finding the Third Proportional to 152,610.13 and 224,503.13

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Solution

The third proportional to 152,610.13 and 224,503.13 is: 330,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610.13 : 224,503.13 = 224,503.13 : x
  2. Step 2: Convert to fraction form
    152,610.13/224,503.13 = 224,503.13/x
  3. Step 3: Cross multiply
    152,610.13x = 224,503.13 × 224,503.13
  4. Step 4: Simplify right side
    152,610.13x = 50,401,653,134.77
  5. Step 5: Solve for x
    x = 50,401,653,134.77/152,610.13
  6. Step 6: Final answer
    x = 330,264.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.