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Finding the Third Proportional to 160,884 and 346,432.50

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Solution

The third proportional to 160,884 and 346,432.50 is: 745,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,884 : 346,432.50 = 346,432.50 : x
  2. Step 2: Convert to fraction form
    160,884/346,432.50 = 346,432.50/x
  3. Step 3: Cross multiply
    160,884x = 346,432.50 × 346,432.50
  4. Step 4: Simplify right side
    160,884x = 120,015,477,056.25
  5. Step 5: Solve for x
    x = 120,015,477,056.25/160,884
  6. Step 6: Final answer
    x = 745,975.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.