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Finding the Third Proportional to 160,948 and 346,440

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Solution

The third proportional to 160,948 and 346,440 is: 745,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,948 : 346,440 = 346,440 : x
  2. Step 2: Convert to fraction form
    160,948/346,440 = 346,440/x
  3. Step 3: Cross multiply
    160,948x = 346,440 × 346,440
  4. Step 4: Simplify right side
    160,948x = 120,020,673,600
  5. Step 5: Solve for x
    x = 120,020,673,600/160,948
  6. Step 6: Final answer
    x = 745,710.87

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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.