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Finding the Third Proportional to 194,550 and 357,132

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Solution

The third proportional to 194,550 and 357,132 is: 655,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,550 : 357,132 = 357,132 : x
  2. Step 2: Convert to fraction form
    194,550/357,132 = 357,132/x
  3. Step 3: Cross multiply
    194,550x = 357,132 × 357,132
  4. Step 4: Simplify right side
    194,550x = 127,543,265,424
  5. Step 5: Solve for x
    x = 127,543,265,424/194,550
  6. Step 6: Final answer
    x = 655,580.91

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.