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Finding the Third Proportional to 168,225 and 249,908

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Solution

The third proportional to 168,225 and 249,908 is: 371,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,225 : 249,908 = 249,908 : x
  2. Step 2: Convert to fraction form
    168,225/249,908 = 249,908/x
  3. Step 3: Cross multiply
    168,225x = 249,908 × 249,908
  4. Step 4: Simplify right side
    168,225x = 62,454,008,464
  5. Step 5: Solve for x
    x = 62,454,008,464/168,225
  6. Step 6: Final answer
    x = 371,252.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.