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Finding the Third Proportional to 266,047 and 315,254

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Solution

The third proportional to 266,047 and 315,254 is: 373,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,047 : 315,254 = 315,254 : x
  2. Step 2: Convert to fraction form
    266,047/315,254 = 315,254/x
  3. Step 3: Cross multiply
    266,047x = 315,254 × 315,254
  4. Step 4: Simplify right side
    266,047x = 99,385,084,516
  5. Step 5: Solve for x
    x = 99,385,084,516/266,047
  6. Step 6: Final answer
    x = 373,562.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.