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Finding the Third Proportional to 160,176 and 243,074

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Solution

The third proportional to 160,176 and 243,074 is: 368,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,176 : 243,074 = 243,074 : x
  2. Step 2: Convert to fraction form
    160,176/243,074 = 243,074/x
  3. Step 3: Cross multiply
    160,176x = 243,074 × 243,074
  4. Step 4: Simplify right side
    160,176x = 59,084,969,476
  5. Step 5: Solve for x
    x = 59,084,969,476/160,176
  6. Step 6: Final answer
    x = 368,875.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.