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Finding the Third Proportional to 111,265 and 240,430

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Solution

The third proportional to 111,265 and 240,430 is: 519,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,265 : 240,430 = 240,430 : x
  2. Step 2: Convert to fraction form
    111,265/240,430 = 240,430/x
  3. Step 3: Cross multiply
    111,265x = 240,430 × 240,430
  4. Step 4: Simplify right side
    111,265x = 57,806,584,900
  5. Step 5: Solve for x
    x = 57,806,584,900/111,265
  6. Step 6: Final answer
    x = 519,539.70

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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.