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Finding the Third Proportional to 154,260 and 233,033

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Solution

The third proportional to 154,260 and 233,033 is: 352,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,260 : 233,033 = 233,033 : x
  2. Step 2: Convert to fraction form
    154,260/233,033 = 233,033/x
  3. Step 3: Cross multiply
    154,260x = 233,033 × 233,033
  4. Step 4: Simplify right side
    154,260x = 54,304,379,089
  5. Step 5: Solve for x
    x = 54,304,379,089/154,260
  6. Step 6: Final answer
    x = 352,031.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.