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Finding the Third Proportional to 152,609.63 and 224,502.19

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Solution

The third proportional to 152,609.63 and 224,502.19 is: 330,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,609.63 : 224,502.19 = 224,502.19 : x
  2. Step 2: Convert to fraction form
    152,609.63/224,502.19 = 224,502.19/x
  3. Step 3: Cross multiply
    152,609.63x = 224,502.19 × 224,502.19
  4. Step 4: Simplify right side
    152,609.63x = 50,401,232,192.29
  5. Step 5: Solve for x
    x = 50,401,232,192.29/152,609.63
  6. Step 6: Final answer
    x = 330,262.47

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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.