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Finding the Third Proportional to 112,292 and 243,470

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Solution

The third proportional to 112,292 and 243,470 is: 527,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,292 : 243,470 = 243,470 : x
  2. Step 2: Convert to fraction form
    112,292/243,470 = 243,470/x
  3. Step 3: Cross multiply
    112,292x = 243,470 × 243,470
  4. Step 4: Simplify right side
    112,292x = 59,277,640,900
  5. Step 5: Solve for x
    x = 59,277,640,900/112,292
  6. Step 6: Final answer
    x = 527,888.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.