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Finding the Third Proportional to 183,718 and 260,032.50

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Solution

The third proportional to 183,718 and 260,032.50 is: 368,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,718 : 260,032.50 = 260,032.50 : x
  2. Step 2: Convert to fraction form
    183,718/260,032.50 = 260,032.50/x
  3. Step 3: Cross multiply
    183,718x = 260,032.50 × 260,032.50
  4. Step 4: Simplify right side
    183,718x = 67,616,901,056.25
  5. Step 5: Solve for x
    x = 67,616,901,056.25/183,718
  6. Step 6: Final answer
    x = 368,047.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.