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Finding the Third Proportional to 239,343 and 363,988.50

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Solution

The third proportional to 239,343 and 363,988.50 is: 553,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,343 : 363,988.50 = 363,988.50 : x
  2. Step 2: Convert to fraction form
    239,343/363,988.50 = 363,988.50/x
  3. Step 3: Cross multiply
    239,343x = 363,988.50 × 363,988.50
  4. Step 4: Simplify right side
    239,343x = 132,487,628,132.25
  5. Step 5: Solve for x
    x = 132,487,628,132.25/239,343
  6. Step 6: Final answer
    x = 553,547.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.