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Finding the Third Proportional to 248,146 and 525,541

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Solution

The third proportional to 248,146 and 525,541 is: 1,113,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,146 : 525,541 = 525,541 : x
  2. Step 2: Convert to fraction form
    248,146/525,541 = 525,541/x
  3. Step 3: Cross multiply
    248,146x = 525,541 × 525,541
  4. Step 4: Simplify right side
    248,146x = 276,193,342,681
  5. Step 5: Solve for x
    x = 276,193,342,681/248,146
  6. Step 6: Final answer
    x = 1,113,027.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.