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Finding the Third Proportional to 157,756.50 and 238,284

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Solution

The third proportional to 157,756.50 and 238,284 is: 359,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,756.50 : 238,284 = 238,284 : x
  2. Step 2: Convert to fraction form
    157,756.50/238,284 = 238,284/x
  3. Step 3: Cross multiply
    157,756.50x = 238,284 × 238,284
  4. Step 4: Simplify right side
    157,756.50x = 56,779,264,656
  5. Step 5: Solve for x
    x = 56,779,264,656/157,756.50
  6. Step 6: Final answer
    x = 359,917.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.