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Finding the Third Proportional to 221,601.75 and 364,070.25

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Solution

The third proportional to 221,601.75 and 364,070.25 is: 598,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,601.75 : 364,070.25 = 364,070.25 : x
  2. Step 2: Convert to fraction form
    221,601.75/364,070.25 = 364,070.25/x
  3. Step 3: Cross multiply
    221,601.75x = 364,070.25 × 364,070.25
  4. Step 4: Simplify right side
    221,601.75x = 132,547,146,935.06
  5. Step 5: Solve for x
    x = 132,547,146,935.06/221,601.75
  6. Step 6: Final answer
    x = 598,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.