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Finding the Third Proportional to 249,569 and 374,232

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Solution

The third proportional to 249,569 and 374,232 is: 561,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,569 : 374,232 = 374,232 : x
  2. Step 2: Convert to fraction form
    249,569/374,232 = 374,232/x
  3. Step 3: Cross multiply
    249,569x = 374,232 × 374,232
  4. Step 4: Simplify right side
    249,569x = 140,049,589,824
  5. Step 5: Solve for x
    x = 140,049,589,824/249,569
  6. Step 6: Final answer
    x = 561,165.81

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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.