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Finding the Third Proportional to 190,196 and 294,342

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Solution

The third proportional to 190,196 and 294,342 is: 455,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,196 : 294,342 = 294,342 : x
  2. Step 2: Convert to fraction form
    190,196/294,342 = 294,342/x
  3. Step 3: Cross multiply
    190,196x = 294,342 × 294,342
  4. Step 4: Simplify right side
    190,196x = 86,637,212,964
  5. Step 5: Solve for x
    x = 86,637,212,964/190,196
  6. Step 6: Final answer
    x = 455,515.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.