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Finding the Third Proportional to 195,033 and 310,312.50

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Solution

The third proportional to 195,033 and 310,312.50 is: 493,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,033 : 310,312.50 = 310,312.50 : x
  2. Step 2: Convert to fraction form
    195,033/310,312.50 = 310,312.50/x
  3. Step 3: Cross multiply
    195,033x = 310,312.50 × 310,312.50
  4. Step 4: Simplify right side
    195,033x = 96,293,847,656.25
  5. Step 5: Solve for x
    x = 96,293,847,656.25/195,033
  6. Step 6: Final answer
    x = 493,731.05

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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.