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Finding the Third Proportional to 249,575 and 374,241

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Solution

The third proportional to 249,575 and 374,241 is: 561,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,575 : 374,241 = 374,241 : x
  2. Step 2: Convert to fraction form
    249,575/374,241 = 374,241/x
  3. Step 3: Cross multiply
    249,575x = 374,241 × 374,241
  4. Step 4: Simplify right side
    249,575x = 140,056,326,081
  5. Step 5: Solve for x
    x = 140,056,326,081/249,575
  6. Step 6: Final answer
    x = 561,179.31

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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.