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Finding the Third Proportional to 160,779.94 and 342,913.50

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Solution

The third proportional to 160,779.94 and 342,913.50 is: 731,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,779.94 : 342,913.50 = 342,913.50 : x
  2. Step 2: Convert to fraction form
    160,779.94/342,913.50 = 342,913.50/x
  3. Step 3: Cross multiply
    160,779.94x = 342,913.50 × 342,913.50
  4. Step 4: Simplify right side
    160,779.94x = 117,589,668,482.25
  5. Step 5: Solve for x
    x = 117,589,668,482.25/160,779.94
  6. Step 6: Final answer
    x = 731,370.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.