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Finding the Third Proportional to 111,675 and 243,033

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Solution

The third proportional to 111,675 and 243,033 is: 528,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,675 : 243,033 = 243,033 : x
  2. Step 2: Convert to fraction form
    111,675/243,033 = 243,033/x
  3. Step 3: Cross multiply
    111,675x = 243,033 × 243,033
  4. Step 4: Simplify right side
    111,675x = 59,065,039,089
  5. Step 5: Solve for x
    x = 59,065,039,089/111,675
  6. Step 6: Final answer
    x = 528,901.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.