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Finding the Third Proportional to 130,280 and 195,421

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Solution

The third proportional to 130,280 and 195,421 is: 293,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,280 : 195,421 = 195,421 : x
  2. Step 2: Convert to fraction form
    130,280/195,421 = 195,421/x
  3. Step 3: Cross multiply
    130,280x = 195,421 × 195,421
  4. Step 4: Simplify right side
    130,280x = 38,189,367,241
  5. Step 5: Solve for x
    x = 38,189,367,241/130,280
  6. Step 6: Final answer
    x = 293,133.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.