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Finding the Third Proportional to 164,058.75 and 357,763.50

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Solution

The third proportional to 164,058.75 and 357,763.50 is: 780,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058.75 : 357,763.50 = 357,763.50 : x
  2. Step 2: Convert to fraction form
    164,058.75/357,763.50 = 357,763.50/x
  3. Step 3: Cross multiply
    164,058.75x = 357,763.50 × 357,763.50
  4. Step 4: Simplify right side
    164,058.75x = 127,994,721,932.25
  5. Step 5: Solve for x
    x = 127,994,721,932.25/164,058.75
  6. Step 6: Final answer
    x = 780,176.14

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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.