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Finding the Third Proportional to 114,484 and 251,804

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Solution

The third proportional to 114,484 and 251,804 is: 553,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,484 : 251,804 = 251,804 : x
  2. Step 2: Convert to fraction form
    114,484/251,804 = 251,804/x
  3. Step 3: Cross multiply
    114,484x = 251,804 × 251,804
  4. Step 4: Simplify right side
    114,484x = 63,405,254,416
  5. Step 5: Solve for x
    x = 63,405,254,416/114,484
  6. Step 6: Final answer
    x = 553,835.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.