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Finding the Third Proportional to 247,970 and 537,142

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Solution

The third proportional to 247,970 and 537,142 is: 1,163,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,970 : 537,142 = 537,142 : x
  2. Step 2: Convert to fraction form
    247,970/537,142 = 537,142/x
  3. Step 3: Cross multiply
    247,970x = 537,142 × 537,142
  4. Step 4: Simplify right side
    247,970x = 288,521,528,164
  5. Step 5: Solve for x
    x = 288,521,528,164/247,970
  6. Step 6: Final answer
    x = 1,163,534.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.