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Finding the Third Proportional to 216,185 and 345,352.50

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Solution

The third proportional to 216,185 and 345,352.50 is: 551,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,185 : 345,352.50 = 345,352.50 : x
  2. Step 2: Convert to fraction form
    216,185/345,352.50 = 345,352.50/x
  3. Step 3: Cross multiply
    216,185x = 345,352.50 × 345,352.50
  4. Step 4: Simplify right side
    216,185x = 119,268,349,256.25
  5. Step 5: Solve for x
    x = 119,268,349,256.25/216,185
  6. Step 6: Final answer
    x = 551,695.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.