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Finding the Third Proportional to 195,160.13 and 301,603.13

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Solution

The third proportional to 195,160.13 and 301,603.13 is: 466,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,160.13 : 301,603.13 = 301,603.13 : x
  2. Step 2: Convert to fraction form
    195,160.13/301,603.13 = 301,603.13/x
  3. Step 3: Cross multiply
    195,160.13x = 301,603.13 × 301,603.13
  4. Step 4: Simplify right side
    195,160.13x = 90,964,445,009.77
  5. Step 5: Solve for x
    x = 90,964,445,009.77/195,160.13
  6. Step 6: Final answer
    x = 466,101.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.