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Finding the Third Proportional to 229,038 and 356,646

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Solution

The third proportional to 229,038 and 356,646 is: 555,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,038 : 356,646 = 356,646 : x
  2. Step 2: Convert to fraction form
    229,038/356,646 = 356,646/x
  3. Step 3: Cross multiply
    229,038x = 356,646 × 356,646
  4. Step 4: Simplify right side
    229,038x = 127,196,369,316
  5. Step 5: Solve for x
    x = 127,196,369,316/229,038
  6. Step 6: Final answer
    x = 555,350.51

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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.