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Finding the Third Proportional to 243,352 and 524,148

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Solution

The third proportional to 243,352 and 524,148 is: 1,128,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,352 : 524,148 = 524,148 : x
  2. Step 2: Convert to fraction form
    243,352/524,148 = 524,148/x
  3. Step 3: Cross multiply
    243,352x = 524,148 × 524,148
  4. Step 4: Simplify right side
    243,352x = 274,731,125,904
  5. Step 5: Solve for x
    x = 274,731,125,904/243,352
  6. Step 6: Final answer
    x = 1,128,945.42

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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.