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Finding the Third Proportional to 127,303.50 and 275,280

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Solution

The third proportional to 127,303.50 and 275,280 is: 595,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,303.50 : 275,280 = 275,280 : x
  2. Step 2: Convert to fraction form
    127,303.50/275,280 = 275,280/x
  3. Step 3: Cross multiply
    127,303.50x = 275,280 × 275,280
  4. Step 4: Simplify right side
    127,303.50x = 75,779,078,400
  5. Step 5: Solve for x
    x = 75,779,078,400/127,303.50
  6. Step 6: Final answer
    x = 595,263.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.