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Finding the Third Proportional to 160,959.66 and 249,117.19

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Solution

The third proportional to 160,959.66 and 249,117.19 is: 385,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,959.66 : 249,117.19 = 249,117.19 : x
  2. Step 2: Convert to fraction form
    160,959.66/249,117.19 = 249,117.19/x
  3. Step 3: Cross multiply
    160,959.66x = 249,117.19 × 249,117.19
  4. Step 4: Simplify right side
    160,959.66x = 62,059,373,107.91
  5. Step 5: Solve for x
    x = 62,059,373,107.91/160,959.66
  6. Step 6: Final answer
    x = 385,558.56

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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.