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Finding the Third Proportional to 153,468 and 314,316.28

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Solution

The third proportional to 153,468 and 314,316.28 is: 643,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,468 : 314,316.28 = 314,316.28 : x
  2. Step 2: Convert to fraction form
    153,468/314,316.28 = 314,316.28/x
  3. Step 3: Cross multiply
    153,468x = 314,316.28 × 314,316.28
  4. Step 4: Simplify right side
    153,468x = 98,794,724,658.83
  5. Step 5: Solve for x
    x = 98,794,724,658.83/153,468
  6. Step 6: Final answer
    x = 643,748.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.