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Finding the Third Proportional to 164,174.81 and 359,488.88

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Solution

The third proportional to 164,174.81 and 359,488.88 is: 787,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,174.81 : 359,488.88 = 359,488.88 : x
  2. Step 2: Convert to fraction form
    164,174.81/359,488.88 = 359,488.88/x
  3. Step 3: Cross multiply
    164,174.81x = 359,488.88 × 359,488.88
  4. Step 4: Simplify right side
    164,174.81x = 129,232,251,248.77
  5. Step 5: Solve for x
    x = 129,232,251,248.77/164,174.81
  6. Step 6: Final answer
    x = 787,162.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.