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Finding the Third Proportional to 239,499 and 399,148.50

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Solution

The third proportional to 239,499 and 399,148.50 is: 665,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,499 : 399,148.50 = 399,148.50 : x
  2. Step 2: Convert to fraction form
    239,499/399,148.50 = 399,148.50/x
  3. Step 3: Cross multiply
    239,499x = 399,148.50 × 399,148.50
  4. Step 4: Simplify right side
    239,499x = 159,319,525,052.25
  5. Step 5: Solve for x
    x = 159,319,525,052.25/239,499
  6. Step 6: Final answer
    x = 665,220.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.