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Finding the Third Proportional to 148,834.13 and 212,181.19

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Solution

The third proportional to 148,834.13 and 212,181.19 is: 302,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,834.13 : 212,181.19 = 212,181.19 : x
  2. Step 2: Convert to fraction form
    148,834.13/212,181.19 = 212,181.19/x
  3. Step 3: Cross multiply
    148,834.13x = 212,181.19 × 212,181.19
  4. Step 4: Simplify right side
    148,834.13x = 45,020,856,328.91
  5. Step 5: Solve for x
    x = 45,020,856,328.91/148,834.13
  6. Step 6: Final answer
    x = 302,490.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.