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Finding the Third Proportional to 130,202 and 199,143

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Solution

The third proportional to 130,202 and 199,143 is: 304,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,202 : 199,143 = 199,143 : x
  2. Step 2: Convert to fraction form
    130,202/199,143 = 199,143/x
  3. Step 3: Cross multiply
    130,202x = 199,143 × 199,143
  4. Step 4: Simplify right side
    130,202x = 39,657,934,449
  5. Step 5: Solve for x
    x = 39,657,934,449/130,202
  6. Step 6: Final answer
    x = 304,587.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.