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Finding the Third Proportional to 146,159 and 314,878

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Solution

The third proportional to 146,159 and 314,878 is: 678,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,159 : 314,878 = 314,878 : x
  2. Step 2: Convert to fraction form
    146,159/314,878 = 314,878/x
  3. Step 3: Cross multiply
    146,159x = 314,878 × 314,878
  4. Step 4: Simplify right side
    146,159x = 99,148,154,884
  5. Step 5: Solve for x
    x = 99,148,154,884/146,159
  6. Step 6: Final answer
    x = 678,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.