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Finding the Third Proportional to 229,034 and 342,498

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Solution

The third proportional to 229,034 and 342,498 is: 512,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,034 : 342,498 = 342,498 : x
  2. Step 2: Convert to fraction form
    229,034/342,498 = 342,498/x
  3. Step 3: Cross multiply
    229,034x = 342,498 × 342,498
  4. Step 4: Simplify right side
    229,034x = 117,304,880,004
  5. Step 5: Solve for x
    x = 117,304,880,004/229,034
  6. Step 6: Final answer
    x = 512,172.34

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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.