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Finding the Third Proportional to 175,510.50 and 288,294

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Solution

The third proportional to 175,510.50 and 288,294 is: 473,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.50 : 288,294 = 288,294 : x
  2. Step 2: Convert to fraction form
    175,510.50/288,294 = 288,294/x
  3. Step 3: Cross multiply
    175,510.50x = 288,294 × 288,294
  4. Step 4: Simplify right side
    175,510.50x = 83,113,430,436
  5. Step 5: Solve for x
    x = 83,113,430,436/175,510.50
  6. Step 6: Final answer
    x = 473,552.47

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.