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Finding the Third Proportional to 219,410 and 349,102

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Solution

The third proportional to 219,410 and 349,102 is: 555,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410 : 349,102 = 349,102 : x
  2. Step 2: Convert to fraction form
    219,410/349,102 = 349,102/x
  3. Step 3: Cross multiply
    219,410x = 349,102 × 349,102
  4. Step 4: Simplify right side
    219,410x = 121,872,206,404
  5. Step 5: Solve for x
    x = 121,872,206,404/219,410
  6. Step 6: Final answer
    x = 555,454.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.