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Finding the Third Proportional to 202,048.50 and 294,188.06

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Solution

The third proportional to 202,048.50 and 294,188.06 is: 428,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,048.50 : 294,188.06 = 294,188.06 : x
  2. Step 2: Convert to fraction form
    202,048.50/294,188.06 = 294,188.06/x
  3. Step 3: Cross multiply
    202,048.50x = 294,188.06 × 294,188.06
  4. Step 4: Simplify right side
    202,048.50x = 86,546,616,117.50
  5. Step 5: Solve for x
    x = 86,546,616,117.50/202,048.50
  6. Step 6: Final answer
    x = 428,345.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.