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Finding the Third Proportional to 161,330.63 and 333,019.13

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Solution

The third proportional to 161,330.63 and 333,019.13 is: 687,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,330.63 : 333,019.13 = 333,019.13 : x
  2. Step 2: Convert to fraction form
    161,330.63/333,019.13 = 333,019.13/x
  3. Step 3: Cross multiply
    161,330.63x = 333,019.13 × 333,019.13
  4. Step 4: Simplify right side
    161,330.63x = 110,901,737,615.77
  5. Step 5: Solve for x
    x = 110,901,737,615.77/161,330.63
  6. Step 6: Final answer
    x = 687,419.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.