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Finding the Third Proportional to 152,615.81 and 224,515.13

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Solution

The third proportional to 152,615.81 and 224,515.13 is: 330,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615.81 : 224,515.13 = 224,515.13 : x
  2. Step 2: Convert to fraction form
    152,615.81/224,515.13 = 224,515.13/x
  3. Step 3: Cross multiply
    152,615.81x = 224,515.13 × 224,515.13
  4. Step 4: Simplify right side
    152,615.81x = 50,407,041,353.77
  5. Step 5: Solve for x
    x = 50,407,041,353.77/152,615.81
  6. Step 6: Final answer
    x = 330,287.15

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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.