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Finding the Third Proportional to 148,526 and 312,604

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Solution

The third proportional to 148,526 and 312,604 is: 657,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,526 : 312,604 = 312,604 : x
  2. Step 2: Convert to fraction form
    148,526/312,604 = 312,604/x
  3. Step 3: Cross multiply
    148,526x = 312,604 × 312,604
  4. Step 4: Simplify right side
    148,526x = 97,721,260,816
  5. Step 5: Solve for x
    x = 97,721,260,816/148,526
  6. Step 6: Final answer
    x = 657,940.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.