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Finding the Third Proportional to 209,248 and 314,340

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Solution

The third proportional to 209,248 and 314,340 is: 472,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,248 : 314,340 = 314,340 : x
  2. Step 2: Convert to fraction form
    209,248/314,340 = 314,340/x
  3. Step 3: Cross multiply
    209,248x = 314,340 × 314,340
  4. Step 4: Simplify right side
    209,248x = 98,809,635,600
  5. Step 5: Solve for x
    x = 98,809,635,600/209,248
  6. Step 6: Final answer
    x = 472,213.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.