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Finding the Third Proportional to 162,733.50 and 353,457

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Solution

The third proportional to 162,733.50 and 353,457 is: 767,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733.50 : 353,457 = 353,457 : x
  2. Step 2: Convert to fraction form
    162,733.50/353,457 = 353,457/x
  3. Step 3: Cross multiply
    162,733.50x = 353,457 × 353,457
  4. Step 4: Simplify right side
    162,733.50x = 124,931,850,849
  5. Step 5: Solve for x
    x = 124,931,850,849/162,733.50
  6. Step 6: Final answer
    x = 767,708.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.