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Finding the Third Proportional to 265,752 and 358,024.50

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Solution

The third proportional to 265,752 and 358,024.50 is: 482,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,752 : 358,024.50 = 358,024.50 : x
  2. Step 2: Convert to fraction form
    265,752/358,024.50 = 358,024.50/x
  3. Step 3: Cross multiply
    265,752x = 358,024.50 × 358,024.50
  4. Step 4: Simplify right side
    265,752x = 128,181,542,600.25
  5. Step 5: Solve for x
    x = 128,181,542,600.25/265,752
  6. Step 6: Final answer
    x = 482,335.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.