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Finding the Third Proportional to 151,464 and 322,356

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Solution

The third proportional to 151,464 and 322,356 is: 686,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464 : 322,356 = 322,356 : x
  2. Step 2: Convert to fraction form
    151,464/322,356 = 322,356/x
  3. Step 3: Cross multiply
    151,464x = 322,356 × 322,356
  4. Step 4: Simplify right side
    151,464x = 103,913,390,736
  5. Step 5: Solve for x
    x = 103,913,390,736/151,464
  6. Step 6: Final answer
    x = 686,059.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.