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Finding the Third Proportional to 229,062 and 342,534

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Solution

The third proportional to 229,062 and 342,534 is: 512,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062 : 342,534 = 342,534 : x
  2. Step 2: Convert to fraction form
    229,062/342,534 = 342,534/x
  3. Step 3: Cross multiply
    229,062x = 342,534 × 342,534
  4. Step 4: Simplify right side
    229,062x = 117,329,541,156
  5. Step 5: Solve for x
    x = 117,329,541,156/229,062
  6. Step 6: Final answer
    x = 512,217.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.