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Finding the Third Proportional to 186,752 and 403,200

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Solution

The third proportional to 186,752 and 403,200 is: 870,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,752 : 403,200 = 403,200 : x
  2. Step 2: Convert to fraction form
    186,752/403,200 = 403,200/x
  3. Step 3: Cross multiply
    186,752x = 403,200 × 403,200
  4. Step 4: Simplify right side
    186,752x = 162,570,240,000
  5. Step 5: Solve for x
    x = 162,570,240,000/186,752
  6. Step 6: Final answer
    x = 870,514.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.