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Finding the Third Proportional to 223,091 and 335,130.50

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Solution

The third proportional to 223,091 and 335,130.50 is: 503,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,091 : 335,130.50 = 335,130.50 : x
  2. Step 2: Convert to fraction form
    223,091/335,130.50 = 335,130.50/x
  3. Step 3: Cross multiply
    223,091x = 335,130.50 × 335,130.50
  4. Step 4: Simplify right side
    223,091x = 112,312,452,030.25
  5. Step 5: Solve for x
    x = 112,312,452,030.25/223,091
  6. Step 6: Final answer
    x = 503,437.84

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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.