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Finding the Third Proportional to 175,230 and 235,465.50

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Solution

The third proportional to 175,230 and 235,465.50 is: 316,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,230 : 235,465.50 = 235,465.50 : x
  2. Step 2: Convert to fraction form
    175,230/235,465.50 = 235,465.50/x
  3. Step 3: Cross multiply
    175,230x = 235,465.50 × 235,465.50
  4. Step 4: Simplify right side
    175,230x = 55,444,001,690.25
  5. Step 5: Solve for x
    x = 55,444,001,690.25/175,230
  6. Step 6: Final answer
    x = 316,407.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.