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Finding the Third Proportional to 145,878 and 230,697

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Solution

The third proportional to 145,878 and 230,697 is: 364,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,878 : 230,697 = 230,697 : x
  2. Step 2: Convert to fraction form
    145,878/230,697 = 230,697/x
  3. Step 3: Cross multiply
    145,878x = 230,697 × 230,697
  4. Step 4: Simplify right side
    145,878x = 53,221,105,809
  5. Step 5: Solve for x
    x = 53,221,105,809/145,878
  6. Step 6: Final answer
    x = 364,832.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.