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Finding the Third Proportional to 190,146.25 and 292,294

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Solution

The third proportional to 190,146.25 and 292,294 is: 449,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,146.25 : 292,294 = 292,294 : x
  2. Step 2: Convert to fraction form
    190,146.25/292,294 = 292,294/x
  3. Step 3: Cross multiply
    190,146.25x = 292,294 × 292,294
  4. Step 4: Simplify right side
    190,146.25x = 85,435,782,436
  5. Step 5: Solve for x
    x = 85,435,782,436/190,146.25
  6. Step 6: Final answer
    x = 449,316.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.