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Finding the Third Proportional to 160,184 and 240,276

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Solution

The third proportional to 160,184 and 240,276 is: 360,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,184 : 240,276 = 240,276 : x
  2. Step 2: Convert to fraction form
    160,184/240,276 = 240,276/x
  3. Step 3: Cross multiply
    160,184x = 240,276 × 240,276
  4. Step 4: Simplify right side
    160,184x = 57,732,556,176
  5. Step 5: Solve for x
    x = 57,732,556,176/160,184
  6. Step 6: Final answer
    x = 360,414

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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.