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Finding the Third Proportional to 126,363 and 197,146.50

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Solution

The third proportional to 126,363 and 197,146.50 is: 307,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,363 : 197,146.50 = 197,146.50 : x
  2. Step 2: Convert to fraction form
    126,363/197,146.50 = 197,146.50/x
  3. Step 3: Cross multiply
    126,363x = 197,146.50 × 197,146.50
  4. Step 4: Simplify right side
    126,363x = 38,866,742,462.25
  5. Step 5: Solve for x
    x = 38,866,742,462.25/126,363
  6. Step 6: Final answer
    x = 307,580.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.