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Finding the Third Proportional to 160,051.57 and 334,890.07

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Solution

The third proportional to 160,051.57 and 334,890.07 is: 700,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,051.57 : 334,890.07 = 334,890.07 : x
  2. Step 2: Convert to fraction form
    160,051.57/334,890.07 = 334,890.07/x
  3. Step 3: Cross multiply
    160,051.57x = 334,890.07 × 334,890.07
  4. Step 4: Simplify right side
    160,051.57x = 112,151,359,193.91
  5. Step 5: Solve for x
    x = 112,151,359,193.91/160,051.57
  6. Step 6: Final answer
    x = 700,720.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.