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Finding the Third Proportional to 234,031.50 and 372,433.50

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Solution

The third proportional to 234,031.50 and 372,433.50 is: 592,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,031.50 : 372,433.50 = 372,433.50 : x
  2. Step 2: Convert to fraction form
    234,031.50/372,433.50 = 372,433.50/x
  3. Step 3: Cross multiply
    234,031.50x = 372,433.50 × 372,433.50
  4. Step 4: Simplify right side
    234,031.50x = 138,706,711,922.25
  5. Step 5: Solve for x
    x = 138,706,711,922.25/234,031.50
  6. Step 6: Final answer
    x = 592,683.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.