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Finding the Third Proportional to 175,038.75 and 383,962.50

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Solution

The third proportional to 175,038.75 and 383,962.50 is: 842,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,038.75 : 383,962.50 = 383,962.50 : x
  2. Step 2: Convert to fraction form
    175,038.75/383,962.50 = 383,962.50/x
  3. Step 3: Cross multiply
    175,038.75x = 383,962.50 × 383,962.50
  4. Step 4: Simplify right side
    175,038.75x = 147,427,201,406.25
  5. Step 5: Solve for x
    x = 147,427,201,406.25/175,038.75
  6. Step 6: Final answer
    x = 842,254.65

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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.