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Finding the Third Proportional to 109,005 and 235,209

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Solution

The third proportional to 109,005 and 235,209 is: 507,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,005 : 235,209 = 235,209 : x
  2. Step 2: Convert to fraction form
    109,005/235,209 = 235,209/x
  3. Step 3: Cross multiply
    109,005x = 235,209 × 235,209
  4. Step 4: Simplify right side
    109,005x = 55,323,273,681
  5. Step 5: Solve for x
    x = 55,323,273,681/109,005
  6. Step 6: Final answer
    x = 507,529.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.