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Finding the Third Proportional to 107,506 and 233,670

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Solution

The third proportional to 107,506 and 233,670 is: 507,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,506 : 233,670 = 233,670 : x
  2. Step 2: Convert to fraction form
    107,506/233,670 = 233,670/x
  3. Step 3: Cross multiply
    107,506x = 233,670 × 233,670
  4. Step 4: Simplify right side
    107,506x = 54,601,668,900
  5. Step 5: Solve for x
    x = 54,601,668,900/107,506
  6. Step 6: Final answer
    x = 507,894.15

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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.