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Finding the Third Proportional to 74,594 and 163,362

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Solution

The third proportional to 74,594 and 163,362 is: 357,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,594 : 163,362 = 163,362 : x
  2. Step 2: Convert to fraction form
    74,594/163,362 = 163,362/x
  3. Step 3: Cross multiply
    74,594x = 163,362 × 163,362
  4. Step 4: Simplify right side
    74,594x = 26,687,143,044
  5. Step 5: Solve for x
    x = 26,687,143,044/74,594
  6. Step 6: Final answer
    x = 357,765.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.