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Finding the Third Proportional to 140,598 and 292,862

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Solution

The third proportional to 140,598 and 292,862 is: 610,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,598 : 292,862 = 292,862 : x
  2. Step 2: Convert to fraction form
    140,598/292,862 = 292,862/x
  3. Step 3: Cross multiply
    140,598x = 292,862 × 292,862
  4. Step 4: Simplify right side
    140,598x = 85,768,151,044
  5. Step 5: Solve for x
    x = 85,768,151,044/140,598
  6. Step 6: Final answer
    x = 610,023.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.