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Finding the Third Proportional to 160,219.69 and 249,077.53

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Solution

The third proportional to 160,219.69 and 249,077.53 is: 387,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,219.69 : 249,077.53 = 249,077.53 : x
  2. Step 2: Convert to fraction form
    160,219.69/249,077.53 = 249,077.53/x
  3. Step 3: Cross multiply
    160,219.69x = 249,077.53 × 249,077.53
  4. Step 4: Simplify right side
    160,219.69x = 62,039,616,573.59
  5. Step 5: Solve for x
    x = 62,039,616,573.59/160,219.69
  6. Step 6: Final answer
    x = 387,215.94

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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.