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Finding the Third Proportional to 229,026 and 342,486

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Solution

The third proportional to 229,026 and 342,486 is: 512,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,026 : 342,486 = 342,486 : x
  2. Step 2: Convert to fraction form
    229,026/342,486 = 342,486/x
  3. Step 3: Cross multiply
    229,026x = 342,486 × 342,486
  4. Step 4: Simplify right side
    229,026x = 117,296,660,196
  5. Step 5: Solve for x
    x = 117,296,660,196/229,026
  6. Step 6: Final answer
    x = 512,154.34

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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.