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Finding the Third Proportional to 128,798 and 271,580

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Solution

The third proportional to 128,798 and 271,580 is: 572,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,798 : 271,580 = 271,580 : x
  2. Step 2: Convert to fraction form
    128,798/271,580 = 271,580/x
  3. Step 3: Cross multiply
    128,798x = 271,580 × 271,580
  4. Step 4: Simplify right side
    128,798x = 73,755,696,400
  5. Step 5: Solve for x
    x = 73,755,696,400/128,798
  6. Step 6: Final answer
    x = 572,646.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.