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Finding the Third Proportional to 144,416.25 and 308,152.50

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Solution

The third proportional to 144,416.25 and 308,152.50 is: 657,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,416.25 : 308,152.50 = 308,152.50 : x
  2. Step 2: Convert to fraction form
    144,416.25/308,152.50 = 308,152.50/x
  3. Step 3: Cross multiply
    144,416.25x = 308,152.50 × 308,152.50
  4. Step 4: Simplify right side
    144,416.25x = 94,957,963,256.25
  5. Step 5: Solve for x
    x = 94,957,963,256.25/144,416.25
  6. Step 6: Final answer
    x = 657,529.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.