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Finding the Third Proportional to 186,369.75 and 248,307.19

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Solution

The third proportional to 186,369.75 and 248,307.19 is: 330,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,369.75 : 248,307.19 = 248,307.19 : x
  2. Step 2: Convert to fraction form
    186,369.75/248,307.19 = 248,307.19/x
  3. Step 3: Cross multiply
    186,369.75x = 248,307.19 × 248,307.19
  4. Step 4: Simplify right side
    186,369.75x = 61,656,459,364.16
  5. Step 5: Solve for x
    x = 61,656,459,364.16/186,369.75
  6. Step 6: Final answer
    x = 330,828.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.