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Finding the Third Proportional to 249,704 and 365,211

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Solution

The third proportional to 249,704 and 365,211 is: 534,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,704 : 365,211 = 365,211 : x
  2. Step 2: Convert to fraction form
    249,704/365,211 = 365,211/x
  3. Step 3: Cross multiply
    249,704x = 365,211 × 365,211
  4. Step 4: Simplify right side
    249,704x = 133,379,074,521
  5. Step 5: Solve for x
    x = 133,379,074,521/249,704
  6. Step 6: Final answer
    x = 534,148.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.