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Finding the Third Proportional to 130,920 and 287,328

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Solution

The third proportional to 130,920 and 287,328 is: 630,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920 : 287,328 = 287,328 : x
  2. Step 2: Convert to fraction form
    130,920/287,328 = 287,328/x
  3. Step 3: Cross multiply
    130,920x = 287,328 × 287,328
  4. Step 4: Simplify right side
    130,920x = 82,557,379,584
  5. Step 5: Solve for x
    x = 82,557,379,584/130,920
  6. Step 6: Final answer
    x = 630,594.10

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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.