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Finding the Third Proportional to 146,584 and 319,502

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Solution

The third proportional to 146,584 and 319,502 is: 696,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,584 : 319,502 = 319,502 : x
  2. Step 2: Convert to fraction form
    146,584/319,502 = 319,502/x
  3. Step 3: Cross multiply
    146,584x = 319,502 × 319,502
  4. Step 4: Simplify right side
    146,584x = 102,081,528,004
  5. Step 5: Solve for x
    x = 102,081,528,004/146,584
  6. Step 6: Final answer
    x = 696,402.94

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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.