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Finding the Third Proportional to 255,300 and 545,352

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Solution

The third proportional to 255,300 and 545,352 is: 1,164,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,300 : 545,352 = 545,352 : x
  2. Step 2: Convert to fraction form
    255,300/545,352 = 545,352/x
  3. Step 3: Cross multiply
    255,300x = 545,352 × 545,352
  4. Step 4: Simplify right side
    255,300x = 297,408,803,904
  5. Step 5: Solve for x
    x = 297,408,803,904/255,300
  6. Step 6: Final answer
    x = 1,164,938.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.