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Finding the Third Proportional to 152,709 and 224,613.50

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Solution

The third proportional to 152,709 and 224,613.50 is: 330,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709 : 224,613.50 = 224,613.50 : x
  2. Step 2: Convert to fraction form
    152,709/224,613.50 = 224,613.50/x
  3. Step 3: Cross multiply
    152,709x = 224,613.50 × 224,613.50
  4. Step 4: Simplify right side
    152,709x = 50,451,224,382.25
  5. Step 5: Solve for x
    x = 50,451,224,382.25/152,709
  6. Step 6: Final answer
    x = 330,374.92

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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.