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Finding the Third Proportional to 130,304.95 and 285,521.20

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Solution

The third proportional to 130,304.95 and 285,521.20 is: 625,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,304.95 : 285,521.20 = 285,521.20 : x
  2. Step 2: Convert to fraction form
    130,304.95/285,521.20 = 285,521.20/x
  3. Step 3: Cross multiply
    130,304.95x = 285,521.20 × 285,521.20
  4. Step 4: Simplify right side
    130,304.95x = 81,522,357,433.95
  5. Step 5: Solve for x
    x = 81,522,357,433.95/130,304.95
  6. Step 6: Final answer
    x = 625,627.46

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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.