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Finding the Third Proportional to 117,602 and 256,354

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Solution

The third proportional to 117,602 and 256,354 is: 558,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,602 : 256,354 = 256,354 : x
  2. Step 2: Convert to fraction form
    117,602/256,354 = 256,354/x
  3. Step 3: Cross multiply
    117,602x = 256,354 × 256,354
  4. Step 4: Simplify right side
    117,602x = 65,717,373,316
  5. Step 5: Solve for x
    x = 65,717,373,316/117,602
  6. Step 6: Final answer
    x = 558,811.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.