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Finding the Third Proportional to 167,205 and 357,090

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Solution

The third proportional to 167,205 and 357,090 is: 762,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,205 : 357,090 = 357,090 : x
  2. Step 2: Convert to fraction form
    167,205/357,090 = 357,090/x
  3. Step 3: Cross multiply
    167,205x = 357,090 × 357,090
  4. Step 4: Simplify right side
    167,205x = 127,513,268,100
  5. Step 5: Solve for x
    x = 127,513,268,100/167,205
  6. Step 6: Final answer
    x = 762,616.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.