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Finding the Third Proportional to 148,378 and 320,516

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Solution

The third proportional to 148,378 and 320,516 is: 692,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,378 : 320,516 = 320,516 : x
  2. Step 2: Convert to fraction form
    148,378/320,516 = 320,516/x
  3. Step 3: Cross multiply
    148,378x = 320,516 × 320,516
  4. Step 4: Simplify right side
    148,378x = 102,730,506,256
  5. Step 5: Solve for x
    x = 102,730,506,256/148,378
  6. Step 6: Final answer
    x = 692,356.73

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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.