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Finding the Third Proportional to 153,365 and 334,615

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Solution

The third proportional to 153,365 and 334,615 is: 730,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,365 : 334,615 = 334,615 : x
  2. Step 2: Convert to fraction form
    153,365/334,615 = 334,615/x
  3. Step 3: Cross multiply
    153,365x = 334,615 × 334,615
  4. Step 4: Simplify right side
    153,365x = 111,967,198,225
  5. Step 5: Solve for x
    x = 111,967,198,225/153,365
  6. Step 6: Final answer
    x = 730,070.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.