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Finding the Third Proportional to 140,862.38 and 313,220.25

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Solution

The third proportional to 140,862.38 and 313,220.25 is: 696,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,862.38 : 313,220.25 = 313,220.25 : x
  2. Step 2: Convert to fraction form
    140,862.38/313,220.25 = 313,220.25/x
  3. Step 3: Cross multiply
    140,862.38x = 313,220.25 × 313,220.25
  4. Step 4: Simplify right side
    140,862.38x = 98,106,925,010.06
  5. Step 5: Solve for x
    x = 98,106,925,010.06/140,862.38
  6. Step 6: Final answer
    x = 696,473.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.