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Finding the Third Proportional to 116,672 and 249,904

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Solution

The third proportional to 116,672 and 249,904 is: 535,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,672 : 249,904 = 249,904 : x
  2. Step 2: Convert to fraction form
    116,672/249,904 = 249,904/x
  3. Step 3: Cross multiply
    116,672x = 249,904 × 249,904
  4. Step 4: Simplify right side
    116,672x = 62,452,009,216
  5. Step 5: Solve for x
    x = 62,452,009,216/116,672
  6. Step 6: Final answer
    x = 535,278.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.