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Finding the Third Proportional to 147,814.88 and 306,129.38

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Solution

The third proportional to 147,814.88 and 306,129.38 is: 634,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814.88 : 306,129.38 = 306,129.38 : x
  2. Step 2: Convert to fraction form
    147,814.88/306,129.38 = 306,129.38/x
  3. Step 3: Cross multiply
    147,814.88x = 306,129.38 × 306,129.38
  4. Step 4: Simplify right side
    147,814.88x = 93,715,194,237.89
  5. Step 5: Solve for x
    x = 93,715,194,237.89/147,814.88
  6. Step 6: Final answer
    x = 634,003.81

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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.