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Finding the Third Proportional to 207,316 and 452,154

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Solution

The third proportional to 207,316 and 452,154 is: 986,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316 : 452,154 = 452,154 : x
  2. Step 2: Convert to fraction form
    207,316/452,154 = 452,154/x
  3. Step 3: Cross multiply
    207,316x = 452,154 × 452,154
  4. Step 4: Simplify right side
    207,316x = 204,443,239,716
  5. Step 5: Solve for x
    x = 204,443,239,716/207,316
  6. Step 6: Final answer
    x = 986,143.08

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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.