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Finding the Third Proportional to 175,352 and 383,506

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Solution

The third proportional to 175,352 and 383,506 is: 838,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,352 : 383,506 = 383,506 : x
  2. Step 2: Convert to fraction form
    175,352/383,506 = 383,506/x
  3. Step 3: Cross multiply
    175,352x = 383,506 × 383,506
  4. Step 4: Simplify right side
    175,352x = 147,076,852,036
  5. Step 5: Solve for x
    x = 147,076,852,036/175,352
  6. Step 6: Final answer
    x = 838,752.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.