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Finding the Third Proportional to 147,518 and 314,340

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Solution

The third proportional to 147,518 and 314,340 is: 669,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,518 : 314,340 = 314,340 : x
  2. Step 2: Convert to fraction form
    147,518/314,340 = 314,340/x
  3. Step 3: Cross multiply
    147,518x = 314,340 × 314,340
  4. Step 4: Simplify right side
    147,518x = 98,809,635,600
  5. Step 5: Solve for x
    x = 98,809,635,600/147,518
  6. Step 6: Final answer
    x = 669,814.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.