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Finding the Third Proportional to 114,160 and 247,808

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Solution

The third proportional to 114,160 and 247,808 is: 537,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160 : 247,808 = 247,808 : x
  2. Step 2: Convert to fraction form
    114,160/247,808 = 247,808/x
  3. Step 3: Cross multiply
    114,160x = 247,808 × 247,808
  4. Step 4: Simplify right side
    114,160x = 61,408,804,864
  5. Step 5: Solve for x
    x = 61,408,804,864/114,160
  6. Step 6: Final answer
    x = 537,918.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.