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Finding the Third Proportional to 224,001 and 346,873.50

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Solution

The third proportional to 224,001 and 346,873.50 is: 537,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,001 : 346,873.50 = 346,873.50 : x
  2. Step 2: Convert to fraction form
    224,001/346,873.50 = 346,873.50/x
  3. Step 3: Cross multiply
    224,001x = 346,873.50 × 346,873.50
  4. Step 4: Simplify right side
    224,001x = 120,321,225,002.25
  5. Step 5: Solve for x
    x = 120,321,225,002.25/224,001
  6. Step 6: Final answer
    x = 537,145.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.