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Finding the Third Proportional to 148,547 and 320,767

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Solution

The third proportional to 148,547 and 320,767 is: 692,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,547 : 320,767 = 320,767 : x
  2. Step 2: Convert to fraction form
    148,547/320,767 = 320,767/x
  3. Step 3: Cross multiply
    148,547x = 320,767 × 320,767
  4. Step 4: Simplify right side
    148,547x = 102,891,468,289
  5. Step 5: Solve for x
    x = 102,891,468,289/148,547
  6. Step 6: Final answer
    x = 692,652.62

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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.