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Finding the Third Proportional to 152,988.75 and 252,833.91

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Solution

The third proportional to 152,988.75 and 252,833.91 is: 417,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988.75 : 252,833.91 = 252,833.91 : x
  2. Step 2: Convert to fraction form
    152,988.75/252,833.91 = 252,833.91/x
  3. Step 3: Cross multiply
    152,988.75x = 252,833.91 × 252,833.91
  4. Step 4: Simplify right side
    152,988.75x = 63,924,984,149.63
  5. Step 5: Solve for x
    x = 63,924,984,149.63/152,988.75
  6. Step 6: Final answer
    x = 417,841.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.