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Finding the Third Proportional to 148,442.63 and 323,526.38

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Solution

The third proportional to 148,442.63 and 323,526.38 is: 705,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,442.63 : 323,526.38 = 323,526.38 : x
  2. Step 2: Convert to fraction form
    148,442.63/323,526.38 = 323,526.38/x
  3. Step 3: Cross multiply
    148,442.63x = 323,526.38 × 323,526.38
  4. Step 4: Simplify right side
    148,442.63x = 104,669,315,320.64
  5. Step 5: Solve for x
    x = 104,669,315,320.64/148,442.63
  6. Step 6: Final answer
    x = 705,116.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.