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Finding the Third Proportional to 74,362 and 163,547

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Solution

The third proportional to 74,362 and 163,547 is: 359,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,362 : 163,547 = 163,547 : x
  2. Step 2: Convert to fraction form
    74,362/163,547 = 163,547/x
  3. Step 3: Cross multiply
    74,362x = 163,547 × 163,547
  4. Step 4: Simplify right side
    74,362x = 26,747,621,209
  5. Step 5: Solve for x
    x = 26,747,621,209/74,362
  6. Step 6: Final answer
    x = 359,694.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.