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Finding the Third Proportional to 233,143.31 and 360,017.16

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Solution

The third proportional to 233,143.31 and 360,017.16 is: 555,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.31 : 360,017.16 = 360,017.16 : x
  2. Step 2: Convert to fraction form
    233,143.31/360,017.16 = 360,017.16/x
  3. Step 3: Cross multiply
    233,143.31x = 360,017.16 × 360,017.16
  4. Step 4: Simplify right side
    233,143.31x = 129,612,352,794.34
  5. Step 5: Solve for x
    x = 129,612,352,794.34/233,143.31
  6. Step 6: Final answer
    x = 555,934.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.