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Finding the Third Proportional to 130,924 and 287,336

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Solution

The third proportional to 130,924 and 287,336 is: 630,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,924 : 287,336 = 287,336 : x
  2. Step 2: Convert to fraction form
    130,924/287,336 = 287,336/x
  3. Step 3: Cross multiply
    130,924x = 287,336 × 287,336
  4. Step 4: Simplify right side
    130,924x = 82,561,976,896
  5. Step 5: Solve for x
    x = 82,561,976,896/130,924
  6. Step 6: Final answer
    x = 630,609.95

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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.