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Finding the Third Proportional to 107,473 and 233,603

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Solution

The third proportional to 107,473 and 233,603 is: 507,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,473 : 233,603 = 233,603 : x
  2. Step 2: Convert to fraction form
    107,473/233,603 = 233,603/x
  3. Step 3: Cross multiply
    107,473x = 233,603 × 233,603
  4. Step 4: Simplify right side
    107,473x = 54,570,361,609
  5. Step 5: Solve for x
    x = 54,570,361,609/107,473
  6. Step 6: Final answer
    x = 507,758.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.