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Finding the Third Proportional to 133,700 and 291,389

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Solution

The third proportional to 133,700 and 291,389 is: 635,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,700 : 291,389 = 291,389 : x
  2. Step 2: Convert to fraction form
    133,700/291,389 = 291,389/x
  3. Step 3: Cross multiply
    133,700x = 291,389 × 291,389
  4. Step 4: Simplify right side
    133,700x = 84,907,549,321
  5. Step 5: Solve for x
    x = 84,907,549,321/133,700
  6. Step 6: Final answer
    x = 635,060.20

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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.