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Finding the Third Proportional to 147,767 and 306,044

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Solution

The third proportional to 147,767 and 306,044 is: 633,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,767 : 306,044 = 306,044 : x
  2. Step 2: Convert to fraction form
    147,767/306,044 = 306,044/x
  3. Step 3: Cross multiply
    147,767x = 306,044 × 306,044
  4. Step 4: Simplify right side
    147,767x = 93,662,929,936
  5. Step 5: Solve for x
    x = 93,662,929,936/147,767
  6. Step 6: Final answer
    x = 633,855.53

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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.