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Finding the Third Proportional to 243,287.50 and 364,566.50

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Solution

The third proportional to 243,287.50 and 364,566.50 is: 546,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,287.50 : 364,566.50 = 364,566.50 : x
  2. Step 2: Convert to fraction form
    243,287.50/364,566.50 = 364,566.50/x
  3. Step 3: Cross multiply
    243,287.50x = 364,566.50 × 364,566.50
  4. Step 4: Simplify right side
    243,287.50x = 132,908,732,922.25
  5. Step 5: Solve for x
    x = 132,908,732,922.25/243,287.50
  6. Step 6: Final answer
    x = 546,303.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.