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Finding the Third Proportional to 117,934 and 249,178

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Solution

The third proportional to 117,934 and 249,178 is: 526,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,934 : 249,178 = 249,178 : x
  2. Step 2: Convert to fraction form
    117,934/249,178 = 249,178/x
  3. Step 3: Cross multiply
    117,934x = 249,178 × 249,178
  4. Step 4: Simplify right side
    117,934x = 62,089,675,684
  5. Step 5: Solve for x
    x = 62,089,675,684/117,934
  6. Step 6: Final answer
    x = 526,478.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.