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Finding the Third Proportional to 281,282 and 375,746

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Solution

The third proportional to 281,282 and 375,746 is: 501,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,282 : 375,746 = 375,746 : x
  2. Step 2: Convert to fraction form
    281,282/375,746 = 375,746/x
  3. Step 3: Cross multiply
    281,282x = 375,746 × 375,746
  4. Step 4: Simplify right side
    281,282x = 141,185,056,516
  5. Step 5: Solve for x
    x = 141,185,056,516/281,282
  6. Step 6: Final answer
    x = 501,934.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.