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Finding the Third Proportional to 140,541.75 and 292,740.75

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Solution

The third proportional to 140,541.75 and 292,740.75 is: 609,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,541.75 : 292,740.75 = 292,740.75 : x
  2. Step 2: Convert to fraction form
    140,541.75/292,740.75 = 292,740.75/x
  3. Step 3: Cross multiply
    140,541.75x = 292,740.75 × 292,740.75
  4. Step 4: Simplify right side
    140,541.75x = 85,697,146,710.56
  5. Step 5: Solve for x
    x = 85,697,146,710.56/140,541.75
  6. Step 6: Final answer
    x = 609,762.91

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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.