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Finding the Third Proportional to 162,381.59 and 233,903.95

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Solution

The third proportional to 162,381.59 and 233,903.95 is: 336,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,381.59 : 233,903.95 = 233,903.95 : x
  2. Step 2: Convert to fraction form
    162,381.59/233,903.95 = 233,903.95/x
  3. Step 3: Cross multiply
    162,381.59x = 233,903.95 × 233,903.95
  4. Step 4: Simplify right side
    162,381.59x = 54,711,059,287.50
  5. Step 5: Solve for x
    x = 54,711,059,287.50/162,381.59
  6. Step 6: Final answer
    x = 336,928.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.