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Finding the Third Proportional to 156,348 and 368,712

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Solution

The third proportional to 156,348 and 368,712 is: 869,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,348 : 368,712 = 368,712 : x
  2. Step 2: Convert to fraction form
    156,348/368,712 = 368,712/x
  3. Step 3: Cross multiply
    156,348x = 368,712 × 368,712
  4. Step 4: Simplify right side
    156,348x = 135,948,538,944
  5. Step 5: Solve for x
    x = 135,948,538,944/156,348
  6. Step 6: Final answer
    x = 869,525.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.