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Finding the Third Proportional to 125,307 and 295,702.50

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Solution

The third proportional to 125,307 and 295,702.50 is: 697,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,307 : 295,702.50 = 295,702.50 : x
  2. Step 2: Convert to fraction form
    125,307/295,702.50 = 295,702.50/x
  3. Step 3: Cross multiply
    125,307x = 295,702.50 × 295,702.50
  4. Step 4: Simplify right side
    125,307x = 87,439,968,506.25
  5. Step 5: Solve for x
    x = 87,439,968,506.25/125,307
  6. Step 6: Final answer
    x = 697,805.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.