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Finding the Third Proportional to 127,535 and 279,312

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Solution

The third proportional to 127,535 and 279,312 is: 611,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,535 : 279,312 = 279,312 : x
  2. Step 2: Convert to fraction form
    127,535/279,312 = 279,312/x
  3. Step 3: Cross multiply
    127,535x = 279,312 × 279,312
  4. Step 4: Simplify right side
    127,535x = 78,015,193,344
  5. Step 5: Solve for x
    x = 78,015,193,344/127,535
  6. Step 6: Final answer
    x = 611,715.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.