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Finding the Third Proportional to 106,345 and 233,654

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Solution

The third proportional to 106,345 and 233,654 is: 513,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,345 : 233,654 = 233,654 : x
  2. Step 2: Convert to fraction form
    106,345/233,654 = 233,654/x
  3. Step 3: Cross multiply
    106,345x = 233,654 × 233,654
  4. Step 4: Simplify right side
    106,345x = 54,594,191,716
  5. Step 5: Solve for x
    x = 54,594,191,716/106,345
  6. Step 6: Final answer
    x = 513,368.67

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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.