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Finding the Third Proportional to 172,459.13 and 375,293.25

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Solution

The third proportional to 172,459.13 and 375,293.25 is: 816,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,459.13 : 375,293.25 = 375,293.25 : x
  2. Step 2: Convert to fraction form
    172,459.13/375,293.25 = 375,293.25/x
  3. Step 3: Cross multiply
    172,459.13x = 375,293.25 × 375,293.25
  4. Step 4: Simplify right side
    172,459.13x = 140,845,023,495.56
  5. Step 5: Solve for x
    x = 140,845,023,495.56/172,459.13
  6. Step 6: Final answer
    x = 816,686.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.