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Finding the Third Proportional to 164,054.25 and 357,754.50

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Solution

The third proportional to 164,054.25 and 357,754.50 is: 780,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,054.25 : 357,754.50 = 357,754.50 : x
  2. Step 2: Convert to fraction form
    164,054.25/357,754.50 = 357,754.50/x
  3. Step 3: Cross multiply
    164,054.25x = 357,754.50 × 357,754.50
  4. Step 4: Simplify right side
    164,054.25x = 127,988,282,270.25
  5. Step 5: Solve for x
    x = 127,988,282,270.25/164,054.25
  6. Step 6: Final answer
    x = 780,158.28

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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.