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Finding the Third Proportional to 192,681 and 296,392.50

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Solution

The third proportional to 192,681 and 296,392.50 is: 455,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,681 : 296,392.50 = 296,392.50 : x
  2. Step 2: Convert to fraction form
    192,681/296,392.50 = 296,392.50/x
  3. Step 3: Cross multiply
    192,681x = 296,392.50 × 296,392.50
  4. Step 4: Simplify right side
    192,681x = 87,848,514,056.25
  5. Step 5: Solve for x
    x = 87,848,514,056.25/192,681
  6. Step 6: Final answer
    x = 455,927.23

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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.