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Finding the Third Proportional to 162,323.16 and 355,780.69

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Solution

The third proportional to 162,323.16 and 355,780.69 is: 779,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,323.16 : 355,780.69 = 355,780.69 : x
  2. Step 2: Convert to fraction form
    162,323.16/355,780.69 = 355,780.69/x
  3. Step 3: Cross multiply
    162,323.16x = 355,780.69 × 355,780.69
  4. Step 4: Simplify right side
    162,323.16x = 126,579,897,597.97
  5. Step 5: Solve for x
    x = 126,579,897,597.97/162,323.16
  6. Step 6: Final answer
    x = 779,801.85

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