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Finding the Third Proportional to 148,298.63 and 319,925.25

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Solution

The third proportional to 148,298.63 and 319,925.25 is: 690,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,298.63 : 319,925.25 = 319,925.25 : x
  2. Step 2: Convert to fraction form
    148,298.63/319,925.25 = 319,925.25/x
  3. Step 3: Cross multiply
    148,298.63x = 319,925.25 × 319,925.25
  4. Step 4: Simplify right side
    148,298.63x = 102,352,165,587.56
  5. Step 5: Solve for x
    x = 102,352,165,587.56/148,298.63
  6. Step 6: Final answer
    x = 690,176.09

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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.