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Finding the Third Proportional to 183,522 and 404,295.50

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Solution

The third proportional to 183,522 and 404,295.50 is: 890,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,522 : 404,295.50 = 404,295.50 : x
  2. Step 2: Convert to fraction form
    183,522/404,295.50 = 404,295.50/x
  3. Step 3: Cross multiply
    183,522x = 404,295.50 × 404,295.50
  4. Step 4: Simplify right side
    183,522x = 163,454,851,320.25
  5. Step 5: Solve for x
    x = 163,454,851,320.25/183,522
  6. Step 6: Final answer
    x = 890,655.35

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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.