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Finding the Third Proportional to 160,971 and 249,019.50

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Solution

The third proportional to 160,971 and 249,019.50 is: 385,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,971 : 249,019.50 = 249,019.50 : x
  2. Step 2: Convert to fraction form
    160,971/249,019.50 = 249,019.50/x
  3. Step 3: Cross multiply
    160,971x = 249,019.50 × 249,019.50
  4. Step 4: Simplify right side
    160,971x = 62,010,711,380.25
  5. Step 5: Solve for x
    x = 62,010,711,380.25/160,971
  6. Step 6: Final answer
    x = 385,229.09

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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.