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Finding the Third Proportional to 147,457.50 and 316,419

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Solution

The third proportional to 147,457.50 and 316,419 is: 678,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,457.50 : 316,419 = 316,419 : x
  2. Step 2: Convert to fraction form
    147,457.50/316,419 = 316,419/x
  3. Step 3: Cross multiply
    147,457.50x = 316,419 × 316,419
  4. Step 4: Simplify right side
    147,457.50x = 100,120,983,561
  5. Step 5: Solve for x
    x = 100,120,983,561/147,457.50
  6. Step 6: Final answer
    x = 678,981.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.