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Finding the Third Proportional to 302,176.50 and 470,032.50

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Solution

The third proportional to 302,176.50 and 470,032.50 is: 731,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,176.50 : 470,032.50 = 470,032.50 : x
  2. Step 2: Convert to fraction form
    302,176.50/470,032.50 = 470,032.50/x
  3. Step 3: Cross multiply
    302,176.50x = 470,032.50 × 470,032.50
  4. Step 4: Simplify right side
    302,176.50x = 220,930,551,056.25
  5. Step 5: Solve for x
    x = 220,930,551,056.25/302,176.50
  6. Step 6: Final answer
    x = 731,130.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.