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Finding the Third Proportional to 185,036 and 292,718

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Solution

The third proportional to 185,036 and 292,718 is: 463,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,036 : 292,718 = 292,718 : x
  2. Step 2: Convert to fraction form
    185,036/292,718 = 292,718/x
  3. Step 3: Cross multiply
    185,036x = 292,718 × 292,718
  4. Step 4: Simplify right side
    185,036x = 85,683,827,524
  5. Step 5: Solve for x
    x = 85,683,827,524/185,036
  6. Step 6: Final answer
    x = 463,065.71

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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.