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Finding the Third Proportional to 235,016 and 358,365

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Solution

The third proportional to 235,016 and 358,365 is: 546,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,016 : 358,365 = 358,365 : x
  2. Step 2: Convert to fraction form
    235,016/358,365 = 358,365/x
  3. Step 3: Cross multiply
    235,016x = 358,365 × 358,365
  4. Step 4: Simplify right side
    235,016x = 128,425,473,225
  5. Step 5: Solve for x
    x = 128,425,473,225/235,016
  6. Step 6: Final answer
    x = 546,454.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.