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Finding the Third Proportional to 84,300.75 and 176,392.13

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Solution

The third proportional to 84,300.75 and 176,392.13 is: 369,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,300.75 : 176,392.13 = 176,392.13 : x
  2. Step 2: Convert to fraction form
    84,300.75/176,392.13 = 176,392.13/x
  3. Step 3: Cross multiply
    84,300.75x = 176,392.13 × 176,392.13
  4. Step 4: Simplify right side
    84,300.75x = 31,114,181,762.02
  5. Step 5: Solve for x
    x = 31,114,181,762.02/84,300.75
  6. Step 6: Final answer
    x = 369,085.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.