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Finding the Third Proportional to 164,457 and 359,370

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Solution

The third proportional to 164,457 and 359,370 is: 785,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,457 : 359,370 = 359,370 : x
  2. Step 2: Convert to fraction form
    164,457/359,370 = 359,370/x
  3. Step 3: Cross multiply
    164,457x = 359,370 × 359,370
  4. Step 4: Simplify right side
    164,457x = 129,146,796,900
  5. Step 5: Solve for x
    x = 129,146,796,900/164,457
  6. Step 6: Final answer
    x = 785,292.19

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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.