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Finding the Third Proportional to 253,352 and 356,335

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Solution

The third proportional to 253,352 and 356,335 is: 501,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,352 : 356,335 = 356,335 : x
  2. Step 2: Convert to fraction form
    253,352/356,335 = 356,335/x
  3. Step 3: Cross multiply
    253,352x = 356,335 × 356,335
  4. Step 4: Simplify right side
    253,352x = 126,974,632,225
  5. Step 5: Solve for x
    x = 126,974,632,225/253,352
  6. Step 6: Final answer
    x = 501,178.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.