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Finding the Third Proportional to 146,489.63 and 313,715.25

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Solution

The third proportional to 146,489.63 and 313,715.25 is: 671,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,489.63 : 313,715.25 = 313,715.25 : x
  2. Step 2: Convert to fraction form
    146,489.63/313,715.25 = 313,715.25/x
  3. Step 3: Cross multiply
    146,489.63x = 313,715.25 × 313,715.25
  4. Step 4: Simplify right side
    146,489.63x = 98,417,258,082.56
  5. Step 5: Solve for x
    x = 98,417,258,082.56/146,489.63
  6. Step 6: Final answer
    x = 671,837.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.