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Finding the Third Proportional to 74,820.38 and 161,510.63

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Solution

The third proportional to 74,820.38 and 161,510.63 is: 348,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,820.38 : 161,510.63 = 161,510.63 : x
  2. Step 2: Convert to fraction form
    74,820.38/161,510.63 = 161,510.63/x
  3. Step 3: Cross multiply
    74,820.38x = 161,510.63 × 161,510.63
  4. Step 4: Simplify right side
    74,820.38x = 26,085,681,987.89
  5. Step 5: Solve for x
    x = 26,085,681,987.89/74,820.38
  6. Step 6: Final answer
    x = 348,644.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.