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Finding the Third Proportional to 202,420.13 and 432,867.38

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Solution

The third proportional to 202,420.13 and 432,867.38 is: 925,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420.13 : 432,867.38 = 432,867.38 : x
  2. Step 2: Convert to fraction form
    202,420.13/432,867.38 = 432,867.38/x
  3. Step 3: Cross multiply
    202,420.13x = 432,867.38 × 432,867.38
  4. Step 4: Simplify right side
    202,420.13x = 187,374,164,339.39
  5. Step 5: Solve for x
    x = 187,374,164,339.39/202,420.13
  6. Step 6: Final answer
    x = 925,669.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.