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Finding the Third Proportional to 162,582.19 and 250,214.06

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Solution

The third proportional to 162,582.19 and 250,214.06 is: 385,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,582.19 : 250,214.06 = 250,214.06 : x
  2. Step 2: Convert to fraction form
    162,582.19/250,214.06 = 250,214.06/x
  3. Step 3: Cross multiply
    162,582.19x = 250,214.06 × 250,214.06
  4. Step 4: Simplify right side
    162,582.19x = 62,607,077,072.75
  5. Step 5: Solve for x
    x = 62,607,077,072.75/162,582.19
  6. Step 6: Final answer
    x = 385,079.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.