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Finding the Third Proportional to 229,044 and 356,654

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Solution

The third proportional to 229,044 and 356,654 is: 555,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,044 : 356,654 = 356,654 : x
  2. Step 2: Convert to fraction form
    229,044/356,654 = 356,654/x
  3. Step 3: Cross multiply
    229,044x = 356,654 × 356,654
  4. Step 4: Simplify right side
    229,044x = 127,202,075,716
  5. Step 5: Solve for x
    x = 127,202,075,716/229,044
  6. Step 6: Final answer
    x = 555,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.