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Finding the Third Proportional to 185,032 and 292,712

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Solution

The third proportional to 185,032 and 292,712 is: 463,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032 : 292,712 = 292,712 : x
  2. Step 2: Convert to fraction form
    185,032/292,712 = 292,712/x
  3. Step 3: Cross multiply
    185,032x = 292,712 × 292,712
  4. Step 4: Simplify right side
    185,032x = 85,680,314,944
  5. Step 5: Solve for x
    x = 85,680,314,944/185,032
  6. Step 6: Final answer
    x = 463,056.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.