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Finding the Third Proportional to 146,464 and 319,784

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Solution

The third proportional to 146,464 and 319,784 is: 698,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,464 : 319,784 = 319,784 : x
  2. Step 2: Convert to fraction form
    146,464/319,784 = 319,784/x
  3. Step 3: Cross multiply
    146,464x = 319,784 × 319,784
  4. Step 4: Simplify right side
    146,464x = 102,261,806,656
  5. Step 5: Solve for x
    x = 102,261,806,656/146,464
  6. Step 6: Final answer
    x = 698,204.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.