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Finding the Third Proportional to 174,955 and 367,535

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Solution

The third proportional to 174,955 and 367,535 is: 772,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,955 : 367,535 = 367,535 : x
  2. Step 2: Convert to fraction form
    174,955/367,535 = 367,535/x
  3. Step 3: Cross multiply
    174,955x = 367,535 × 367,535
  4. Step 4: Simplify right side
    174,955x = 135,081,976,225
  5. Step 5: Solve for x
    x = 135,081,976,225/174,955
  6. Step 6: Final answer
    x = 772,095.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.