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Finding the Third Proportional to 147,868.13 and 320,647.88

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Solution

The third proportional to 147,868.13 and 320,647.88 is: 695,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,868.13 : 320,647.88 = 320,647.88 : x
  2. Step 2: Convert to fraction form
    147,868.13/320,647.88 = 320,647.88/x
  3. Step 3: Cross multiply
    147,868.13x = 320,647.88 × 320,647.88
  4. Step 4: Simplify right side
    147,868.13x = 102,815,059,742.02
  5. Step 5: Solve for x
    x = 102,815,059,742.02/147,868.13
  6. Step 6: Final answer
    x = 695,315.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.