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Finding the Third Proportional to 226,076 and 349,506

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Solution

The third proportional to 226,076 and 349,506 is: 540,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,076 : 349,506 = 349,506 : x
  2. Step 2: Convert to fraction form
    226,076/349,506 = 349,506/x
  3. Step 3: Cross multiply
    226,076x = 349,506 × 349,506
  4. Step 4: Simplify right side
    226,076x = 122,154,444,036
  5. Step 5: Solve for x
    x = 122,154,444,036/226,076
  6. Step 6: Final answer
    x = 540,324.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.