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Finding the Third Proportional to 164,416.50 and 358,618.50

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Solution

The third proportional to 164,416.50 and 358,618.50 is: 782,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,416.50 : 358,618.50 = 358,618.50 : x
  2. Step 2: Convert to fraction form
    164,416.50/358,618.50 = 358,618.50/x
  3. Step 3: Cross multiply
    164,416.50x = 358,618.50 × 358,618.50
  4. Step 4: Simplify right side
    164,416.50x = 128,607,228,542.25
  5. Step 5: Solve for x
    x = 128,607,228,542.25/164,416.50
  6. Step 6: Final answer
    x = 782,203.91

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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.