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Finding the Third Proportional to 162,901.13 and 343,541.25

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Solution

The third proportional to 162,901.13 and 343,541.25 is: 724,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,901.13 : 343,541.25 = 343,541.25 : x
  2. Step 2: Convert to fraction form
    162,901.13/343,541.25 = 343,541.25/x
  3. Step 3: Cross multiply
    162,901.13x = 343,541.25 × 343,541.25
  4. Step 4: Simplify right side
    162,901.13x = 118,020,590,451.56
  5. Step 5: Solve for x
    x = 118,020,590,451.56/162,901.13
  6. Step 6: Final answer
    x = 724,492.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.