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Finding the Third Proportional to 242,281.50 and 356,425.50

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Solution

The third proportional to 242,281.50 and 356,425.50 is: 524,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,281.50 : 356,425.50 = 356,425.50 : x
  2. Step 2: Convert to fraction form
    242,281.50/356,425.50 = 356,425.50/x
  3. Step 3: Cross multiply
    242,281.50x = 356,425.50 × 356,425.50
  4. Step 4: Simplify right side
    242,281.50x = 127,039,137,050.25
  5. Step 5: Solve for x
    x = 127,039,137,050.25/242,281.50
  6. Step 6: Final answer
    x = 524,345.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.