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Finding the Third Proportional to 249,375 and 376,681.50

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Solution

The third proportional to 249,375 and 376,681.50 is: 568,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,375 : 376,681.50 = 376,681.50 : x
  2. Step 2: Convert to fraction form
    249,375/376,681.50 = 376,681.50/x
  3. Step 3: Cross multiply
    249,375x = 376,681.50 × 376,681.50
  4. Step 4: Simplify right side
    249,375x = 141,888,952,442.25
  5. Step 5: Solve for x
    x = 141,888,952,442.25/249,375
  6. Step 6: Final answer
    x = 568,978.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.