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Finding the Third Proportional to 261,537.50 and 404,135.50

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Solution

The third proportional to 261,537.50 and 404,135.50 is: 624,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,537.50 : 404,135.50 = 404,135.50 : x
  2. Step 2: Convert to fraction form
    261,537.50/404,135.50 = 404,135.50/x
  3. Step 3: Cross multiply
    261,537.50x = 404,135.50 × 404,135.50
  4. Step 4: Simplify right side
    261,537.50x = 163,325,502,360.25
  5. Step 5: Solve for x
    x = 163,325,502,360.25/261,537.50
  6. Step 6: Final answer
    x = 624,482.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.