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Finding the Third Proportional to 146,829 and 316,986

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Solution

The third proportional to 146,829 and 316,986 is: 684,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,829 : 316,986 = 316,986 : x
  2. Step 2: Convert to fraction form
    146,829/316,986 = 316,986/x
  3. Step 3: Cross multiply
    146,829x = 316,986 × 316,986
  4. Step 4: Simplify right side
    146,829x = 100,480,124,196
  5. Step 5: Solve for x
    x = 100,480,124,196/146,829
  6. Step 6: Final answer
    x = 684,334.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.