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Finding the Third Proportional to 162,160.50 and 354,864.24

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Solution

The third proportional to 162,160.50 and 354,864.24 is: 776,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,160.50 : 354,864.24 = 354,864.24 : x
  2. Step 2: Convert to fraction form
    162,160.50/354,864.24 = 354,864.24/x
  3. Step 3: Cross multiply
    162,160.50x = 354,864.24 × 354,864.24
  4. Step 4: Simplify right side
    162,160.50x = 125,928,631,076.41
  5. Step 5: Solve for x
    x = 125,928,631,076.41/162,160.50
  6. Step 6: Final answer
    x = 776,567.87

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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.