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Finding the Third Proportional to 249,256 and 374,200

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Solution

The third proportional to 249,256 and 374,200 is: 561,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,256 : 374,200 = 374,200 : x
  2. Step 2: Convert to fraction form
    249,256/374,200 = 374,200/x
  3. Step 3: Cross multiply
    249,256x = 374,200 × 374,200
  4. Step 4: Simplify right side
    249,256x = 140,025,640,000
  5. Step 5: Solve for x
    x = 140,025,640,000/249,256
  6. Step 6: Final answer
    x = 561,774.40

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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.