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Finding the Third Proportional to 164,457 and 358,614

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Solution

The third proportional to 164,457 and 358,614 is: 781,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,457 : 358,614 = 358,614 : x
  2. Step 2: Convert to fraction form
    164,457/358,614 = 358,614/x
  3. Step 3: Cross multiply
    164,457x = 358,614 × 358,614
  4. Step 4: Simplify right side
    164,457x = 128,604,000,996
  5. Step 5: Solve for x
    x = 128,604,000,996/164,457
  6. Step 6: Final answer
    x = 781,991.65

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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.