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Finding the Third Proportional to 221,124.50 and 350,702.50

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Solution

The third proportional to 221,124.50 and 350,702.50 is: 556,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,124.50 : 350,702.50 = 350,702.50 : x
  2. Step 2: Convert to fraction form
    221,124.50/350,702.50 = 350,702.50/x
  3. Step 3: Cross multiply
    221,124.50x = 350,702.50 × 350,702.50
  4. Step 4: Simplify right side
    221,124.50x = 122,992,243,506.25
  5. Step 5: Solve for x
    x = 122,992,243,506.25/221,124.50
  6. Step 6: Final answer
    x = 556,212.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.