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Finding the Third Proportional to 246,501 and 352,251

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Solution

The third proportional to 246,501 and 352,251 is: 503,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,501 : 352,251 = 352,251 : x
  2. Step 2: Convert to fraction form
    246,501/352,251 = 352,251/x
  3. Step 3: Cross multiply
    246,501x = 352,251 × 352,251
  4. Step 4: Simplify right side
    246,501x = 124,080,767,001
  5. Step 5: Solve for x
    x = 124,080,767,001/246,501
  6. Step 6: Final answer
    x = 503,368.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.