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Finding the Third Proportional to 147,300 and 312,114

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Solution

The third proportional to 147,300 and 312,114 is: 661,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,300 : 312,114 = 312,114 : x
  2. Step 2: Convert to fraction form
    147,300/312,114 = 312,114/x
  3. Step 3: Cross multiply
    147,300x = 312,114 × 312,114
  4. Step 4: Simplify right side
    147,300x = 97,415,148,996
  5. Step 5: Solve for x
    x = 97,415,148,996/147,300
  6. Step 6: Final answer
    x = 661,338.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.