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Finding the Third Proportional to 242,106 and 513,340

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Solution

The third proportional to 242,106 and 513,340 is: 1,088,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,106 : 513,340 = 513,340 : x
  2. Step 2: Convert to fraction form
    242,106/513,340 = 513,340/x
  3. Step 3: Cross multiply
    242,106x = 513,340 × 513,340
  4. Step 4: Simplify right side
    242,106x = 263,517,955,600
  5. Step 5: Solve for x
    x = 263,517,955,600/242,106
  6. Step 6: Final answer
    x = 1,088,440.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.