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Finding the Third Proportional to 162,047 and 245,309

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Solution

The third proportional to 162,047 and 245,309 is: 371,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,047 : 245,309 = 245,309 : x
  2. Step 2: Convert to fraction form
    162,047/245,309 = 245,309/x
  3. Step 3: Cross multiply
    162,047x = 245,309 × 245,309
  4. Step 4: Simplify right side
    162,047x = 60,176,505,481
  5. Step 5: Solve for x
    x = 60,176,505,481/162,047
  6. Step 6: Final answer
    x = 371,352.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.