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Finding the Third Proportional to 145,435.50 and 314,218

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Solution

The third proportional to 145,435.50 and 314,218 is: 678,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,435.50 : 314,218 = 314,218 : x
  2. Step 2: Convert to fraction form
    145,435.50/314,218 = 314,218/x
  3. Step 3: Cross multiply
    145,435.50x = 314,218 × 314,218
  4. Step 4: Simplify right side
    145,435.50x = 98,732,951,524
  5. Step 5: Solve for x
    x = 98,732,951,524/145,435.50
  6. Step 6: Final answer
    x = 678,877.93

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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.