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Finding the Third Proportional to 235,924 and 375,258

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Solution

The third proportional to 235,924 and 375,258 is: 596,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,924 : 375,258 = 375,258 : x
  2. Step 2: Convert to fraction form
    235,924/375,258 = 375,258/x
  3. Step 3: Cross multiply
    235,924x = 375,258 × 375,258
  4. Step 4: Simplify right side
    235,924x = 140,818,566,564
  5. Step 5: Solve for x
    x = 140,818,566,564/235,924
  6. Step 6: Final answer
    x = 596,881.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.