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Finding the Third Proportional to 243,346 and 524,133.50

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Solution

The third proportional to 243,346 and 524,133.50 is: 1,128,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,346 : 524,133.50 = 524,133.50 : x
  2. Step 2: Convert to fraction form
    243,346/524,133.50 = 524,133.50/x
  3. Step 3: Cross multiply
    243,346x = 524,133.50 × 524,133.50
  4. Step 4: Simplify right side
    243,346x = 274,715,925,822.25
  5. Step 5: Solve for x
    x = 274,715,925,822.25/243,346
  6. Step 6: Final answer
    x = 1,128,910.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.