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Finding the Third Proportional to 130,968 and 287,424

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Solution

The third proportional to 130,968 and 287,424 is: 630,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,968 : 287,424 = 287,424 : x
  2. Step 2: Convert to fraction form
    130,968/287,424 = 287,424/x
  3. Step 3: Cross multiply
    130,968x = 287,424 × 287,424
  4. Step 4: Simplify right side
    130,968x = 82,612,555,776
  5. Step 5: Solve for x
    x = 82,612,555,776/130,968
  6. Step 6: Final answer
    x = 630,784.28

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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.