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Finding the Third Proportional to 145,584 and 318,318

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Solution

The third proportional to 145,584 and 318,318 is: 695,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584 : 318,318 = 318,318 : x
  2. Step 2: Convert to fraction form
    145,584/318,318 = 318,318/x
  3. Step 3: Cross multiply
    145,584x = 318,318 × 318,318
  4. Step 4: Simplify right side
    145,584x = 101,326,349,124
  5. Step 5: Solve for x
    x = 101,326,349,124/145,584
  6. Step 6: Final answer
    x = 695,999.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.