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Finding the Third Proportional to 145,924 and 319,527

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Solution

The third proportional to 145,924 and 319,527 is: 699,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,924 : 319,527 = 319,527 : x
  2. Step 2: Convert to fraction form
    145,924/319,527 = 319,527/x
  3. Step 3: Cross multiply
    145,924x = 319,527 × 319,527
  4. Step 4: Simplify right side
    145,924x = 102,097,503,729
  5. Step 5: Solve for x
    x = 102,097,503,729/145,924
  6. Step 6: Final answer
    x = 699,662.18

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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.