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Finding the Third Proportional to 164,394 and 359,223.75

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Solution

The third proportional to 164,394 and 359,223.75 is: 784,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,394 : 359,223.75 = 359,223.75 : x
  2. Step 2: Convert to fraction form
    164,394/359,223.75 = 359,223.75/x
  3. Step 3: Cross multiply
    164,394x = 359,223.75 × 359,223.75
  4. Step 4: Simplify right side
    164,394x = 129,041,702,564.06
  5. Step 5: Solve for x
    x = 129,041,702,564.06/164,394
  6. Step 6: Final answer
    x = 784,953.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.