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Finding the Third Proportional to 163,095 and 337,381.50

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Solution

The third proportional to 163,095 and 337,381.50 is: 697,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,095 : 337,381.50 = 337,381.50 : x
  2. Step 2: Convert to fraction form
    163,095/337,381.50 = 337,381.50/x
  3. Step 3: Cross multiply
    163,095x = 337,381.50 × 337,381.50
  4. Step 4: Simplify right side
    163,095x = 113,826,276,542.25
  5. Step 5: Solve for x
    x = 113,826,276,542.25/163,095
  6. Step 6: Final answer
    x = 697,913.96

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.