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Finding the Third Proportional to 124,370 and 292,361

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Solution

The third proportional to 124,370 and 292,361 is: 687,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,370 : 292,361 = 292,361 : x
  2. Step 2: Convert to fraction form
    124,370/292,361 = 292,361/x
  3. Step 3: Cross multiply
    124,370x = 292,361 × 292,361
  4. Step 4: Simplify right side
    124,370x = 85,474,954,321
  5. Step 5: Solve for x
    x = 85,474,954,321/124,370
  6. Step 6: Final answer
    x = 687,263.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.