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Finding the Third Proportional to 249,231 and 374,097

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Solution

The third proportional to 249,231 and 374,097 is: 561,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,231 : 374,097 = 374,097 : x
  2. Step 2: Convert to fraction form
    249,231/374,097 = 374,097/x
  3. Step 3: Cross multiply
    249,231x = 374,097 × 374,097
  4. Step 4: Simplify right side
    249,231x = 139,948,565,409
  5. Step 5: Solve for x
    x = 139,948,565,409/249,231
  6. Step 6: Final answer
    x = 561,521.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.