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Finding the Third Proportional to 160,355 and 346,405

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Solution

The third proportional to 160,355 and 346,405 is: 748,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,355 : 346,405 = 346,405 : x
  2. Step 2: Convert to fraction form
    160,355/346,405 = 346,405/x
  3. Step 3: Cross multiply
    160,355x = 346,405 × 346,405
  4. Step 4: Simplify right side
    160,355x = 119,996,424,025
  5. Step 5: Solve for x
    x = 119,996,424,025/160,355
  6. Step 6: Final answer
    x = 748,317.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.