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Finding the Third Proportional to 194,547 and 357,126

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Solution

The third proportional to 194,547 and 357,126 is: 655,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,547 : 357,126 = 357,126 : x
  2. Step 2: Convert to fraction form
    194,547/357,126 = 357,126/x
  3. Step 3: Cross multiply
    194,547x = 357,126 × 357,126
  4. Step 4: Simplify right side
    194,547x = 127,538,979,876
  5. Step 5: Solve for x
    x = 127,538,979,876/194,547
  6. Step 6: Final answer
    x = 655,568.99

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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.