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Finding the Third Proportional to 221,725.50 and 342,429

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Solution

The third proportional to 221,725.50 and 342,429 is: 528,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,725.50 : 342,429 = 342,429 : x
  2. Step 2: Convert to fraction form
    221,725.50/342,429 = 342,429/x
  3. Step 3: Cross multiply
    221,725.50x = 342,429 × 342,429
  4. Step 4: Simplify right side
    221,725.50x = 117,257,620,041
  5. Step 5: Solve for x
    x = 117,257,620,041/221,725.50
  6. Step 6: Final answer
    x = 528,841.38

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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.