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Finding the Third Proportional to 164,040 and 357,726

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Solution

The third proportional to 164,040 and 357,726 is: 780,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,040 : 357,726 = 357,726 : x
  2. Step 2: Convert to fraction form
    164,040/357,726 = 357,726/x
  3. Step 3: Cross multiply
    164,040x = 357,726 × 357,726
  4. Step 4: Simplify right side
    164,040x = 127,967,891,076
  5. Step 5: Solve for x
    x = 127,967,891,076/164,040
  6. Step 6: Final answer
    x = 780,101.75

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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.