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Finding the Third Proportional to 164,502 and 358,758

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Solution

The third proportional to 164,502 and 358,758 is: 782,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502 : 358,758 = 358,758 : x
  2. Step 2: Convert to fraction form
    164,502/358,758 = 358,758/x
  3. Step 3: Cross multiply
    164,502x = 358,758 × 358,758
  4. Step 4: Simplify right side
    164,502x = 128,707,302,564
  5. Step 5: Solve for x
    x = 128,707,302,564/164,502
  6. Step 6: Final answer
    x = 782,405.70

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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.