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Finding the Third Proportional to 162,414 and 249,959.25

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Solution

The third proportional to 162,414 and 249,959.25 is: 384,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,414 : 249,959.25 = 249,959.25 : x
  2. Step 2: Convert to fraction form
    162,414/249,959.25 = 249,959.25/x
  3. Step 3: Cross multiply
    162,414x = 249,959.25 × 249,959.25
  4. Step 4: Simplify right side
    162,414x = 62,479,626,660.56
  5. Step 5: Solve for x
    x = 62,479,626,660.56/162,414
  6. Step 6: Final answer
    x = 384,693.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.