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Finding the Third Proportional to 115,482.38 and 183,893.63

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Solution

The third proportional to 115,482.38 and 183,893.63 is: 292,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482.38 : 183,893.63 = 183,893.63 : x
  2. Step 2: Convert to fraction form
    115,482.38/183,893.63 = 183,893.63/x
  3. Step 3: Cross multiply
    115,482.38x = 183,893.63 × 183,893.63
  4. Step 4: Simplify right side
    115,482.38x = 33,816,865,315.64
  5. Step 5: Solve for x
    x = 33,816,865,315.64/115,482.38
  6. Step 6: Final answer
    x = 292,831.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.