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Finding the Third Proportional to 109,264 and 235,136

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Solution

The third proportional to 109,264 and 235,136 is: 506,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,264 : 235,136 = 235,136 : x
  2. Step 2: Convert to fraction form
    109,264/235,136 = 235,136/x
  3. Step 3: Cross multiply
    109,264x = 235,136 × 235,136
  4. Step 4: Simplify right side
    109,264x = 55,288,938,496
  5. Step 5: Solve for x
    x = 55,288,938,496/109,264
  6. Step 6: Final answer
    x = 506,012.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.