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Finding the Third Proportional to 145,236 and 314,598

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Solution

The third proportional to 145,236 and 314,598 is: 681,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,236 : 314,598 = 314,598 : x
  2. Step 2: Convert to fraction form
    145,236/314,598 = 314,598/x
  3. Step 3: Cross multiply
    145,236x = 314,598 × 314,598
  4. Step 4: Simplify right side
    145,236x = 98,971,901,604
  5. Step 5: Solve for x
    x = 98,971,901,604/145,236
  6. Step 6: Final answer
    x = 681,455.71

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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.