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Finding the Third Proportional to 188,430 and 390,109.50

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Solution

The third proportional to 188,430 and 390,109.50 is: 807,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,430 : 390,109.50 = 390,109.50 : x
  2. Step 2: Convert to fraction form
    188,430/390,109.50 = 390,109.50/x
  3. Step 3: Cross multiply
    188,430x = 390,109.50 × 390,109.50
  4. Step 4: Simplify right side
    188,430x = 152,185,421,990.25
  5. Step 5: Solve for x
    x = 152,185,421,990.25/188,430
  6. Step 6: Final answer
    x = 807,649.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.