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Finding the Third Proportional to 239,677.50 and 375,962.25

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Solution

The third proportional to 239,677.50 and 375,962.25 is: 589,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,677.50 : 375,962.25 = 375,962.25 : x
  2. Step 2: Convert to fraction form
    239,677.50/375,962.25 = 375,962.25/x
  3. Step 3: Cross multiply
    239,677.50x = 375,962.25 × 375,962.25
  4. Step 4: Simplify right side
    239,677.50x = 141,347,613,425.06
  5. Step 5: Solve for x
    x = 141,347,613,425.06/239,677.50
  6. Step 6: Final answer
    x = 589,740.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.