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Finding the Third Proportional to 159,444 and 341,784

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Solution

The third proportional to 159,444 and 341,784 is: 732,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,444 : 341,784 = 341,784 : x
  2. Step 2: Convert to fraction form
    159,444/341,784 = 341,784/x
  3. Step 3: Cross multiply
    159,444x = 341,784 × 341,784
  4. Step 4: Simplify right side
    159,444x = 116,816,302,656
  5. Step 5: Solve for x
    x = 116,816,302,656/159,444
  6. Step 6: Final answer
    x = 732,647.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.