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Finding the Third Proportional to 190,187.50 and 294,335

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Solution

The third proportional to 190,187.50 and 294,335 is: 455,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,187.50 : 294,335 = 294,335 : x
  2. Step 2: Convert to fraction form
    190,187.50/294,335 = 294,335/x
  3. Step 3: Cross multiply
    190,187.50x = 294,335 × 294,335
  4. Step 4: Simplify right side
    190,187.50x = 86,633,092,225
  5. Step 5: Solve for x
    x = 86,633,092,225/190,187.50
  6. Step 6: Final answer
    x = 455,514.12

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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.