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Finding the Third Proportional to 249,230 and 374,163

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Solution

The third proportional to 249,230 and 374,163 is: 561,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,230 : 374,163 = 374,163 : x
  2. Step 2: Convert to fraction form
    249,230/374,163 = 374,163/x
  3. Step 3: Cross multiply
    249,230x = 374,163 × 374,163
  4. Step 4: Simplify right side
    249,230x = 139,997,950,569
  5. Step 5: Solve for x
    x = 139,997,950,569/249,230
  6. Step 6: Final answer
    x = 561,721.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.