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Finding the Third Proportional to 145,433.75 and 314,214.75

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Solution

The third proportional to 145,433.75 and 314,214.75 is: 678,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,433.75 : 314,214.75 = 314,214.75 : x
  2. Step 2: Convert to fraction form
    145,433.75/314,214.75 = 314,214.75/x
  3. Step 3: Cross multiply
    145,433.75x = 314,214.75 × 314,214.75
  4. Step 4: Simplify right side
    145,433.75x = 98,730,909,117.56
  5. Step 5: Solve for x
    x = 98,730,909,117.56/145,433.75
  6. Step 6: Final answer
    x = 678,872.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.