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Finding the Third Proportional to 169,548 and 230,271

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Solution

The third proportional to 169,548 and 230,271 is: 312,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,548 : 230,271 = 230,271 : x
  2. Step 2: Convert to fraction form
    169,548/230,271 = 230,271/x
  3. Step 3: Cross multiply
    169,548x = 230,271 × 230,271
  4. Step 4: Simplify right side
    169,548x = 53,024,733,441
  5. Step 5: Solve for x
    x = 53,024,733,441/169,548
  6. Step 6: Final answer
    x = 312,741.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.