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Finding the Third Proportional to 159,875.02 and 341,904.80

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Solution

The third proportional to 159,875.02 and 341,904.80 is: 731,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,875.02 : 341,904.80 = 341,904.80 : x
  2. Step 2: Convert to fraction form
    159,875.02/341,904.80 = 341,904.80/x
  3. Step 3: Cross multiply
    159,875.02x = 341,904.80 × 341,904.80
  4. Step 4: Simplify right side
    159,875.02x = 116,898,890,126.14
  5. Step 5: Solve for x
    x = 116,898,890,126.14/159,875.02
  6. Step 6: Final answer
    x = 731,189.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.