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Finding the Third Proportional to 151,312 and 222,784

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Solution

The third proportional to 151,312 and 222,784 is: 328,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,312 : 222,784 = 222,784 : x
  2. Step 2: Convert to fraction form
    151,312/222,784 = 222,784/x
  3. Step 3: Cross multiply
    151,312x = 222,784 × 222,784
  4. Step 4: Simplify right side
    151,312x = 49,632,710,656
  5. Step 5: Solve for x
    x = 49,632,710,656/151,312
  6. Step 6: Final answer
    x = 328,015.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.