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Finding the Third Proportional to 130,184 and 195,276

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Solution

The third proportional to 130,184 and 195,276 is: 292,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,184 : 195,276 = 195,276 : x
  2. Step 2: Convert to fraction form
    130,184/195,276 = 195,276/x
  3. Step 3: Cross multiply
    130,184x = 195,276 × 195,276
  4. Step 4: Simplify right side
    130,184x = 38,132,716,176
  5. Step 5: Solve for x
    x = 38,132,716,176/130,184
  6. Step 6: Final answer
    x = 292,914

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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.