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Finding the Third Proportional to 160,456.50 and 249,460.50

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Solution

The third proportional to 160,456.50 and 249,460.50 is: 387,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,456.50 : 249,460.50 = 249,460.50 : x
  2. Step 2: Convert to fraction form
    160,456.50/249,460.50 = 249,460.50/x
  3. Step 3: Cross multiply
    160,456.50x = 249,460.50 × 249,460.50
  4. Step 4: Simplify right side
    160,456.50x = 62,230,541,060.25
  5. Step 5: Solve for x
    x = 62,230,541,060.25/160,456.50
  6. Step 6: Final answer
    x = 387,834.34

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Why These Related Problems?

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