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Finding the Third Proportional to 116,822 and 183,018.50

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Solution

The third proportional to 116,822 and 183,018.50 is: 286,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,822 : 183,018.50 = 183,018.50 : x
  2. Step 2: Convert to fraction form
    116,822/183,018.50 = 183,018.50/x
  3. Step 3: Cross multiply
    116,822x = 183,018.50 × 183,018.50
  4. Step 4: Simplify right side
    116,822x = 33,495,771,342.25
  5. Step 5: Solve for x
    x = 33,495,771,342.25/116,822
  6. Step 6: Final answer
    x = 286,724.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.