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Finding the Third Proportional to 230,544 and 344,352

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Solution

The third proportional to 230,544 and 344,352 is: 514,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,544 : 344,352 = 344,352 : x
  2. Step 2: Convert to fraction form
    230,544/344,352 = 344,352/x
  3. Step 3: Cross multiply
    230,544x = 344,352 × 344,352
  4. Step 4: Simplify right side
    230,544x = 118,578,299,904
  5. Step 5: Solve for x
    x = 118,578,299,904/230,544
  6. Step 6: Final answer
    x = 514,341.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.