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Finding the Third Proportional to 145,217.81 and 316,271.53

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Solution

The third proportional to 145,217.81 and 316,271.53 is: 688,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,217.81 : 316,271.53 = 316,271.53 : x
  2. Step 2: Convert to fraction form
    145,217.81/316,271.53 = 316,271.53/x
  3. Step 3: Cross multiply
    145,217.81x = 316,271.53 × 316,271.53
  4. Step 4: Simplify right side
    145,217.81x = 100,027,681,479.22
  5. Step 5: Solve for x
    x = 100,027,681,479.22/145,217.81
  6. Step 6: Final answer
    x = 688,811.38

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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.