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Finding the Third Proportional to 160,234.50 and 249,100

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Solution

The third proportional to 160,234.50 and 249,100 is: 387,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,234.50 : 249,100 = 249,100 : x
  2. Step 2: Convert to fraction form
    160,234.50/249,100 = 249,100/x
  3. Step 3: Cross multiply
    160,234.50x = 249,100 × 249,100
  4. Step 4: Simplify right side
    160,234.50x = 62,050,810,000
  5. Step 5: Solve for x
    x = 62,050,810,000/160,234.50
  6. Step 6: Final answer
    x = 387,250.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.