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Finding the Third Proportional to 148,237.59 and 323,308.65

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Solution

The third proportional to 148,237.59 and 323,308.65 is: 705,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,237.59 : 323,308.65 = 323,308.65 : x
  2. Step 2: Convert to fraction form
    148,237.59/323,308.65 = 323,308.65/x
  3. Step 3: Cross multiply
    148,237.59x = 323,308.65 × 323,308.65
  4. Step 4: Simplify right side
    148,237.59x = 104,528,484,680.34
  5. Step 5: Solve for x
    x = 104,528,484,680.34/148,237.59
  6. Step 6: Final answer
    x = 705,141.54

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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.