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Finding the Third Proportional to 221,703.75 and 341,303.63

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Solution

The third proportional to 221,703.75 and 341,303.63 is: 525,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,703.75 : 341,303.63 = 341,303.63 : x
  2. Step 2: Convert to fraction form
    221,703.75/341,303.63 = 341,303.63/x
  3. Step 3: Cross multiply
    221,703.75x = 341,303.63 × 341,303.63
  4. Step 4: Simplify right side
    221,703.75x = 116,488,164,438.14
  5. Step 5: Solve for x
    x = 116,488,164,438.14/221,703.75
  6. Step 6: Final answer
    x = 525,422.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.