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Finding the Third Proportional to 221,973.75 and 314,091

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Solution

The third proportional to 221,973.75 and 314,091 is: 444,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,973.75 : 314,091 = 314,091 : x
  2. Step 2: Convert to fraction form
    221,973.75/314,091 = 314,091/x
  3. Step 3: Cross multiply
    221,973.75x = 314,091 × 314,091
  4. Step 4: Simplify right side
    221,973.75x = 98,653,156,281
  5. Step 5: Solve for x
    x = 98,653,156,281/221,973.75
  6. Step 6: Final answer
    x = 444,436.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.