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Finding the Third Proportional to 246,566 and 315,066

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Solution

The third proportional to 246,566 and 315,066 is: 402,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,566 : 315,066 = 315,066 : x
  2. Step 2: Convert to fraction form
    246,566/315,066 = 315,066/x
  3. Step 3: Cross multiply
    246,566x = 315,066 × 315,066
  4. Step 4: Simplify right side
    246,566x = 99,266,584,356
  5. Step 5: Solve for x
    x = 99,266,584,356/246,566
  6. Step 6: Final answer
    x = 402,596.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.