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Finding the Third Proportional to 107,803 and 232,454

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Solution

The third proportional to 107,803 and 232,454 is: 501,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,803 : 232,454 = 232,454 : x
  2. Step 2: Convert to fraction form
    107,803/232,454 = 232,454/x
  3. Step 3: Cross multiply
    107,803x = 232,454 × 232,454
  4. Step 4: Simplify right side
    107,803x = 54,034,862,116
  5. Step 5: Solve for x
    x = 54,034,862,116/107,803
  6. Step 6: Final answer
    x = 501,237.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.