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Finding the Third Proportional to 169,710.19 and 233,776.76

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Solution

The third proportional to 169,710.19 and 233,776.76 is: 322,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,710.19 : 233,776.76 = 233,776.76 : x
  2. Step 2: Convert to fraction form
    169,710.19/233,776.76 = 233,776.76/x
  3. Step 3: Cross multiply
    169,710.19x = 233,776.76 × 233,776.76
  4. Step 4: Simplify right side
    169,710.19x = 54,651,572,493.32
  5. Step 5: Solve for x
    x = 54,651,572,493.32/169,710.19
  6. Step 6: Final answer
    x = 322,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.