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Finding the Third Proportional to 147,776 and 306,064

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Solution

The third proportional to 147,776 and 306,064 is: 633,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,776 : 306,064 = 306,064 : x
  2. Step 2: Convert to fraction form
    147,776/306,064 = 306,064/x
  3. Step 3: Cross multiply
    147,776x = 306,064 × 306,064
  4. Step 4: Simplify right side
    147,776x = 93,675,172,096
  5. Step 5: Solve for x
    x = 93,675,172,096/147,776
  6. Step 6: Final answer
    x = 633,899.77

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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.