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Finding the Third Proportional to 148,423 and 350,009

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Solution

The third proportional to 148,423 and 350,009 is: 825,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,423 : 350,009 = 350,009 : x
  2. Step 2: Convert to fraction form
    148,423/350,009 = 350,009/x
  3. Step 3: Cross multiply
    148,423x = 350,009 × 350,009
  4. Step 4: Simplify right side
    148,423x = 122,506,300,081
  5. Step 5: Solve for x
    x = 122,506,300,081/148,423
  6. Step 6: Final answer
    x = 825,386.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.