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Finding the Third Proportional to 112,200 and 240,160.50

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Solution

The third proportional to 112,200 and 240,160.50 is: 514,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,200 : 240,160.50 = 240,160.50 : x
  2. Step 2: Convert to fraction form
    112,200/240,160.50 = 240,160.50/x
  3. Step 3: Cross multiply
    112,200x = 240,160.50 × 240,160.50
  4. Step 4: Simplify right side
    112,200x = 57,677,065,760.25
  5. Step 5: Solve for x
    x = 57,677,065,760.25/112,200
  6. Step 6: Final answer
    x = 514,055.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.