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Finding the Third Proportional to 245,196 and 374,922

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Solution

The third proportional to 245,196 and 374,922 is: 573,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,196 : 374,922 = 374,922 : x
  2. Step 2: Convert to fraction form
    245,196/374,922 = 374,922/x
  3. Step 3: Cross multiply
    245,196x = 374,922 × 374,922
  4. Step 4: Simplify right side
    245,196x = 140,566,506,084
  5. Step 5: Solve for x
    x = 140,566,506,084/245,196
  6. Step 6: Final answer
    x = 573,282.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.