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Finding the Third Proportional to 195,210 and 292,045.50

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Solution

The third proportional to 195,210 and 292,045.50 is: 436,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,210 : 292,045.50 = 292,045.50 : x
  2. Step 2: Convert to fraction form
    195,210/292,045.50 = 292,045.50/x
  3. Step 3: Cross multiply
    195,210x = 292,045.50 × 292,045.50
  4. Step 4: Simplify right side
    195,210x = 85,290,574,070.25
  5. Step 5: Solve for x
    x = 85,290,574,070.25/195,210
  6. Step 6: Final answer
    x = 436,917.03

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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.