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Finding the Third Proportional to 191,522 and 304,131

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Solution

The third proportional to 191,522 and 304,131 is: 482,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,522 : 304,131 = 304,131 : x
  2. Step 2: Convert to fraction form
    191,522/304,131 = 304,131/x
  3. Step 3: Cross multiply
    191,522x = 304,131 × 304,131
  4. Step 4: Simplify right side
    191,522x = 92,495,665,161
  5. Step 5: Solve for x
    x = 92,495,665,161/191,522
  6. Step 6: Final answer
    x = 482,950.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.