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Finding the Third Proportional to 152,502.75 and 233,290.13

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Solution

The third proportional to 152,502.75 and 233,290.13 is: 356,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,502.75 : 233,290.13 = 233,290.13 : x
  2. Step 2: Convert to fraction form
    152,502.75/233,290.13 = 233,290.13/x
  3. Step 3: Cross multiply
    152,502.75x = 233,290.13 × 233,290.13
  4. Step 4: Simplify right side
    152,502.75x = 54,424,282,422.52
  5. Step 5: Solve for x
    x = 54,424,282,422.52/152,502.75
  6. Step 6: Final answer
    x = 356,874.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.