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Finding the Third Proportional to 183,792 and 414,970.50

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Solution

The third proportional to 183,792 and 414,970.50 is: 936,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,792 : 414,970.50 = 414,970.50 : x
  2. Step 2: Convert to fraction form
    183,792/414,970.50 = 414,970.50/x
  3. Step 3: Cross multiply
    183,792x = 414,970.50 × 414,970.50
  4. Step 4: Simplify right side
    183,792x = 172,200,515,870.25
  5. Step 5: Solve for x
    x = 172,200,515,870.25/183,792
  6. Step 6: Final answer
    x = 936,931.51

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.