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Finding the Third Proportional to 159,102 and 342,585

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Solution

The third proportional to 159,102 and 342,585 is: 737,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102 : 342,585 = 342,585 : x
  2. Step 2: Convert to fraction form
    159,102/342,585 = 342,585/x
  3. Step 3: Cross multiply
    159,102x = 342,585 × 342,585
  4. Step 4: Simplify right side
    159,102x = 117,364,482,225
  5. Step 5: Solve for x
    x = 117,364,482,225/159,102
  6. Step 6: Final answer
    x = 737,668.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.