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Finding the Third Proportional to 145,674 and 316,984.50

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Solution

The third proportional to 145,674 and 316,984.50 is: 689,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674 : 316,984.50 = 316,984.50 : x
  2. Step 2: Convert to fraction form
    145,674/316,984.50 = 316,984.50/x
  3. Step 3: Cross multiply
    145,674x = 316,984.50 × 316,984.50
  4. Step 4: Simplify right side
    145,674x = 100,479,173,240.25
  5. Step 5: Solve for x
    x = 100,479,173,240.25/145,674
  6. Step 6: Final answer
    x = 689,753.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.