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Finding the Third Proportional to 147,788 and 306,085

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Solution

The third proportional to 147,788 and 306,085 is: 633,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,788 : 306,085 = 306,085 : x
  2. Step 2: Convert to fraction form
    147,788/306,085 = 306,085/x
  3. Step 3: Cross multiply
    147,788x = 306,085 × 306,085
  4. Step 4: Simplify right side
    147,788x = 93,688,027,225
  5. Step 5: Solve for x
    x = 93,688,027,225/147,788
  6. Step 6: Final answer
    x = 633,935.28

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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.