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Finding the Third Proportional to 133,994 and 291,316

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Solution

The third proportional to 133,994 and 291,316 is: 633,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,994 : 291,316 = 291,316 : x
  2. Step 2: Convert to fraction form
    133,994/291,316 = 291,316/x
  3. Step 3: Cross multiply
    133,994x = 291,316 × 291,316
  4. Step 4: Simplify right side
    133,994x = 84,865,011,856
  5. Step 5: Solve for x
    x = 84,865,011,856/133,994
  6. Step 6: Final answer
    x = 633,349.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.