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Finding the Third Proportional to 107,320 and 235,784

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Solution

The third proportional to 107,320 and 235,784 is: 518,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,320 : 235,784 = 235,784 : x
  2. Step 2: Convert to fraction form
    107,320/235,784 = 235,784/x
  3. Step 3: Cross multiply
    107,320x = 235,784 × 235,784
  4. Step 4: Simplify right side
    107,320x = 55,594,094,656
  5. Step 5: Solve for x
    x = 55,594,094,656/107,320
  6. Step 6: Final answer
    x = 518,021.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.