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Finding the Third Proportional to 190,148 and 292,297

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Solution

The third proportional to 190,148 and 292,297 is: 449,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,148 : 292,297 = 292,297 : x
  2. Step 2: Convert to fraction form
    190,148/292,297 = 292,297/x
  3. Step 3: Cross multiply
    190,148x = 292,297 × 292,297
  4. Step 4: Simplify right side
    190,148x = 85,437,536,209
  5. Step 5: Solve for x
    x = 85,437,536,209/190,148
  6. Step 6: Final answer
    x = 449,321.25

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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.