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Finding the Third Proportional to 109,598 and 235,574

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Solution

The third proportional to 109,598 and 235,574 is: 506,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,598 : 235,574 = 235,574 : x
  2. Step 2: Convert to fraction form
    109,598/235,574 = 235,574/x
  3. Step 3: Cross multiply
    109,598x = 235,574 × 235,574
  4. Step 4: Simplify right side
    109,598x = 55,495,109,476
  5. Step 5: Solve for x
    x = 55,495,109,476/109,598
  6. Step 6: Final answer
    x = 506,351.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.