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Finding the Third Proportional to 242,818.50 and 367,614

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Solution

The third proportional to 242,818.50 and 367,614 is: 556,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,818.50 : 367,614 = 367,614 : x
  2. Step 2: Convert to fraction form
    242,818.50/367,614 = 367,614/x
  3. Step 3: Cross multiply
    242,818.50x = 367,614 × 367,614
  4. Step 4: Simplify right side
    242,818.50x = 135,140,052,996
  5. Step 5: Solve for x
    x = 135,140,052,996/242,818.50
  6. Step 6: Final answer
    x = 556,547.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.