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Finding the Third Proportional to 235,033 and 342,705

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Solution

The third proportional to 235,033 and 342,705 is: 499,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,033 : 342,705 = 342,705 : x
  2. Step 2: Convert to fraction form
    235,033/342,705 = 342,705/x
  3. Step 3: Cross multiply
    235,033x = 342,705 × 342,705
  4. Step 4: Simplify right side
    235,033x = 117,446,717,025
  5. Step 5: Solve for x
    x = 117,446,717,025/235,033
  6. Step 6: Final answer
    x = 499,703.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.