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Finding the Third Proportional to 272,140.50 and 429,082

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Solution

The third proportional to 272,140.50 and 429,082 is: 676,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,140.50 : 429,082 = 429,082 : x
  2. Step 2: Convert to fraction form
    272,140.50/429,082 = 429,082/x
  3. Step 3: Cross multiply
    272,140.50x = 429,082 × 429,082
  4. Step 4: Simplify right side
    272,140.50x = 184,111,362,724
  5. Step 5: Solve for x
    x = 184,111,362,724/272,140.50
  6. Step 6: Final answer
    x = 676,530.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.