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Finding the Third Proportional to 201,762 and 304,154

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Solution

The third proportional to 201,762 and 304,154 is: 458,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762 : 304,154 = 304,154 : x
  2. Step 2: Convert to fraction form
    201,762/304,154 = 304,154/x
  3. Step 3: Cross multiply
    201,762x = 304,154 × 304,154
  4. Step 4: Simplify right side
    201,762x = 92,509,655,716
  5. Step 5: Solve for x
    x = 92,509,655,716/201,762
  6. Step 6: Final answer
    x = 458,508.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.