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Finding the Third Proportional to 154,550 and 329,514.50

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Solution

The third proportional to 154,550 and 329,514.50 is: 702,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,550 : 329,514.50 = 329,514.50 : x
  2. Step 2: Convert to fraction form
    154,550/329,514.50 = 329,514.50/x
  3. Step 3: Cross multiply
    154,550x = 329,514.50 × 329,514.50
  4. Step 4: Simplify right side
    154,550x = 108,579,805,710.25
  5. Step 5: Solve for x
    x = 108,579,805,710.25/154,550
  6. Step 6: Final answer
    x = 702,554.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.