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Finding the Third Proportional to 175,779 and 364,014

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Solution

The third proportional to 175,779 and 364,014 is: 753,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,779 : 364,014 = 364,014 : x
  2. Step 2: Convert to fraction form
    175,779/364,014 = 364,014/x
  3. Step 3: Cross multiply
    175,779x = 364,014 × 364,014
  4. Step 4: Simplify right side
    175,779x = 132,506,192,196
  5. Step 5: Solve for x
    x = 132,506,192,196/175,779
  6. Step 6: Final answer
    x = 753,822.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.