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Finding the Third Proportional to 207,346 and 452,156

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Solution

The third proportional to 207,346 and 452,156 is: 986,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,346 : 452,156 = 452,156 : x
  2. Step 2: Convert to fraction form
    207,346/452,156 = 452,156/x
  3. Step 3: Cross multiply
    207,346x = 452,156 × 452,156
  4. Step 4: Simplify right side
    207,346x = 204,445,048,336
  5. Step 5: Solve for x
    x = 204,445,048,336/207,346
  6. Step 6: Final answer
    x = 986,009.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.