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Finding the Third Proportional to 248,943 and 357,862.50

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Solution

The third proportional to 248,943 and 357,862.50 is: 514,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,943 : 357,862.50 = 357,862.50 : x
  2. Step 2: Convert to fraction form
    248,943/357,862.50 = 357,862.50/x
  3. Step 3: Cross multiply
    248,943x = 357,862.50 × 357,862.50
  4. Step 4: Simplify right side
    248,943x = 128,065,568,906.25
  5. Step 5: Solve for x
    x = 128,065,568,906.25/248,943
  6. Step 6: Final answer
    x = 514,437.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.