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Finding the Third Proportional to 64,210 and 154,688

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Solution

The third proportional to 64,210 and 154,688 is: 372,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,210 : 154,688 = 154,688 : x
  2. Step 2: Convert to fraction form
    64,210/154,688 = 154,688/x
  3. Step 3: Cross multiply
    64,210x = 154,688 × 154,688
  4. Step 4: Simplify right side
    64,210x = 23,928,377,344
  5. Step 5: Solve for x
    x = 23,928,377,344/64,210
  6. Step 6: Final answer
    x = 372,658.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.