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Finding the Third Proportional to 107,360 and 235,960

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Solution

The third proportional to 107,360 and 235,960 is: 518,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,360 : 235,960 = 235,960 : x
  2. Step 2: Convert to fraction form
    107,360/235,960 = 235,960/x
  3. Step 3: Cross multiply
    107,360x = 235,960 × 235,960
  4. Step 4: Simplify right side
    107,360x = 55,677,121,600
  5. Step 5: Solve for x
    x = 55,677,121,600/107,360
  6. Step 6: Final answer
    x = 518,602.10

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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.