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Finding the Third Proportional to 194,126 and 292,557

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Solution

The third proportional to 194,126 and 292,557 is: 440,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,126 : 292,557 = 292,557 : x
  2. Step 2: Convert to fraction form
    194,126/292,557 = 292,557/x
  3. Step 3: Cross multiply
    194,126x = 292,557 × 292,557
  4. Step 4: Simplify right side
    194,126x = 85,589,598,249
  5. Step 5: Solve for x
    x = 85,589,598,249/194,126
  6. Step 6: Final answer
    x = 440,897.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.