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Finding the Third Proportional to 227,352 and 356,646

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Solution

The third proportional to 227,352 and 356,646 is: 559,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,352 : 356,646 = 356,646 : x
  2. Step 2: Convert to fraction form
    227,352/356,646 = 356,646/x
  3. Step 3: Cross multiply
    227,352x = 356,646 × 356,646
  4. Step 4: Simplify right side
    227,352x = 127,196,369,316
  5. Step 5: Solve for x
    x = 127,196,369,316/227,352
  6. Step 6: Final answer
    x = 559,468.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.