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Finding the Third Proportional to 245,210 and 374,943

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Solution

The third proportional to 245,210 and 374,943 is: 573,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,210 : 374,943 = 374,943 : x
  2. Step 2: Convert to fraction form
    245,210/374,943 = 374,943/x
  3. Step 3: Cross multiply
    245,210x = 374,943 × 374,943
  4. Step 4: Simplify right side
    245,210x = 140,582,253,249
  5. Step 5: Solve for x
    x = 140,582,253,249/245,210
  6. Step 6: Final answer
    x = 573,313.70

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Why These Related Problems?

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