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Finding the Third Proportional to 146,056 and 314,252

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Solution

The third proportional to 146,056 and 314,252 is: 676,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056 : 314,252 = 314,252 : x
  2. Step 2: Convert to fraction form
    146,056/314,252 = 314,252/x
  3. Step 3: Cross multiply
    146,056x = 314,252 × 314,252
  4. Step 4: Simplify right side
    146,056x = 98,754,319,504
  5. Step 5: Solve for x
    x = 98,754,319,504/146,056
  6. Step 6: Final answer
    x = 676,140.11

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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.