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Finding the Third Proportional to 133,516 and 293,316

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Solution

The third proportional to 133,516 and 293,316 is: 644,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,516 : 293,316 = 293,316 : x
  2. Step 2: Convert to fraction form
    133,516/293,316 = 293,316/x
  3. Step 3: Cross multiply
    133,516x = 293,316 × 293,316
  4. Step 4: Simplify right side
    133,516x = 86,034,275,856
  5. Step 5: Solve for x
    x = 86,034,275,856/133,516
  6. Step 6: Final answer
    x = 644,374.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.