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Finding the Third Proportional to 145,230 and 314,586

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Solution

The third proportional to 145,230 and 314,586 is: 681,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,230 : 314,586 = 314,586 : x
  2. Step 2: Convert to fraction form
    145,230/314,586 = 314,586/x
  3. Step 3: Cross multiply
    145,230x = 314,586 × 314,586
  4. Step 4: Simplify right side
    145,230x = 98,964,351,396
  5. Step 5: Solve for x
    x = 98,964,351,396/145,230
  6. Step 6: Final answer
    x = 681,431.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.