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Finding the Third Proportional to 147,789 and 306,087.75

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Solution

The third proportional to 147,789 and 306,087.75 is: 633,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,789 : 306,087.75 = 306,087.75 : x
  2. Step 2: Convert to fraction form
    147,789/306,087.75 = 306,087.75/x
  3. Step 3: Cross multiply
    147,789x = 306,087.75 × 306,087.75
  4. Step 4: Simplify right side
    147,789x = 93,689,710,700.06
  5. Step 5: Solve for x
    x = 93,689,710,700.06/147,789
  6. Step 6: Final answer
    x = 633,942.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.