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Finding the Third Proportional to 113,835 and 249,813.75

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Solution

The third proportional to 113,835 and 249,813.75 is: 548,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,835 : 249,813.75 = 249,813.75 : x
  2. Step 2: Convert to fraction form
    113,835/249,813.75 = 249,813.75/x
  3. Step 3: Cross multiply
    113,835x = 249,813.75 × 249,813.75
  4. Step 4: Simplify right side
    113,835x = 62,406,909,689.06
  5. Step 5: Solve for x
    x = 62,406,909,689.06/113,835
  6. Step 6: Final answer
    x = 548,222.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.