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Finding the Third Proportional to 162,095.50 and 260,442

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Solution

The third proportional to 162,095.50 and 260,442 is: 418,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,095.50 : 260,442 = 260,442 : x
  2. Step 2: Convert to fraction form
    162,095.50/260,442 = 260,442/x
  3. Step 3: Cross multiply
    162,095.50x = 260,442 × 260,442
  4. Step 4: Simplify right side
    162,095.50x = 67,830,035,364
  5. Step 5: Solve for x
    x = 67,830,035,364/162,095.50
  6. Step 6: Final answer
    x = 418,457.24

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.