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Finding the Third Proportional to 146,132 and 314,440

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Solution

The third proportional to 146,132 and 314,440 is: 676,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,132 : 314,440 = 314,440 : x
  2. Step 2: Convert to fraction form
    146,132/314,440 = 314,440/x
  3. Step 3: Cross multiply
    146,132x = 314,440 × 314,440
  4. Step 4: Simplify right side
    146,132x = 98,872,513,600
  5. Step 5: Solve for x
    x = 98,872,513,600/146,132
  6. Step 6: Final answer
    x = 676,597.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.