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Finding the Third Proportional to 168,308 and 245,952.50

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Solution

The third proportional to 168,308 and 245,952.50 is: 359,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,308 : 245,952.50 = 245,952.50 : x
  2. Step 2: Convert to fraction form
    168,308/245,952.50 = 245,952.50/x
  3. Step 3: Cross multiply
    168,308x = 245,952.50 × 245,952.50
  4. Step 4: Simplify right side
    168,308x = 60,492,632,256.25
  5. Step 5: Solve for x
    x = 60,492,632,256.25/168,308
  6. Step 6: Final answer
    x = 359,416.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.