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Finding the Third Proportional to 136,356 and 279,478.50

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Solution

The third proportional to 136,356 and 279,478.50 is: 572,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,356 : 279,478.50 = 279,478.50 : x
  2. Step 2: Convert to fraction form
    136,356/279,478.50 = 279,478.50/x
  3. Step 3: Cross multiply
    136,356x = 279,478.50 × 279,478.50
  4. Step 4: Simplify right side
    136,356x = 78,108,231,962.25
  5. Step 5: Solve for x
    x = 78,108,231,962.25/136,356
  6. Step 6: Final answer
    x = 572,825.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.